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4395940848 = 2433135913267
BaseRepresentation
bin1000001100000010…
…01011101111110000
3102100100201221012000
410012001023233300
533000330101343
62004112134000
7213635611035
oct40601135760
912310657160
104395940848
111956437472
12a28237300
13550971540
142d9b7d38c
151aadd5ed3
hex10604bbf0

4395940848 has 160 divisors (see below), whose sum is σ = 13819948800. Its totient is φ = 1329571584.

The previous prime is 4395940847. The next prime is 4395940853. The reversal of 4395940848 is 8480495934.

4395940848 is a `hidden beast` number, since 4 + 3 + 9 + 594 + 0 + 8 + 48 = 666.

It is a super-2 number, since 2×43959408482 = 38648591878229918208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4395940794 and 4395940803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4395940847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324711 + ... + 337977.

It is an arithmetic number, because the mean of its divisors is an integer number (86374680).

Almost surely, 24395940848 is an apocalyptic number.

4395940848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4395940848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909974400).

4395940848 is an abundant number, since it is smaller than the sum of its proper divisors (9424007952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4395940848 is a wasteful number, since it uses less digits than its factorization.

4395940848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13356 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4395940848 is about 66301.8917377174. The cubic root of 4395940848 is about 1638.1384847157.

The spelling of 4395940848 in words is "four billion, three hundred ninety-five million, nine hundred forty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 59 72 78 104 108 117 118 144 156 177 208 216 234 236 312 351 354 432 468 472 531 624 702 708 767 936 944 1062 1404 1416 1534 1593 1872 2124 2301 2808 2832 3068 3186 4248 4602 5616 6136 6372 6903 8496 9204 12272 12744 13267 13806 18408 20709 25488 26534 27612 36816 39801 41418 53068 55224 79602 82836 106136 110448 119403 159204 165672 172471 212272 238806 318408 331344 344942 358209 477612 517413 636816 689884 716418 782753 955224 1034826 1379768 1432836 1552239 1565506 1910448 2069652 2348259 2759536 2865672 3104478 3131012 4139304 4656717 4696518 5731344 6208956 6262024 7044777 8278608 9313434 9393036 10175789 12417912 12524048 14089554 18626868 18786072 20351578 21134331 24835824 28179108 30527367 37253736 37572144 40703156 42268662 56358216 61054734 74507472 81406312 84537324 91582101 112716432 122109468 162812624 169074648 183164202 244218936 274746303 338149296 366328404 488437872 549492606 732656808 1098985212 1465313616 2197970424 4395940848