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3839190048 = 2535677369
BaseRepresentation
bin1110010011010101…
…0110010000100000
3100220120010001200000
43210311112100200
530330313040143
61432543100000
7164065401621
oct34465262040
910816101600
103839190048
1116a0139341
128b18a1600
134925093b5
14285c53a48
151770acbd3
hexe4d56420

3839190048 has 144 divisors (see below), whose sum is σ = 11492601120. Its totient is φ = 1260458496.

The previous prime is 3839190023. The next prime is 3839190049. The reversal of 3839190048 is 8400919383.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3839189985 and 3839190012.

It is not an unprimeable number, because it can be changed into a prime (3839190049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517308 + ... + 524676.

It is an arithmetic number, because the mean of its divisors is an integer number (79809730).

Almost surely, 23839190048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3839190048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746300560).

3839190048 is an abundant number, since it is smaller than the sum of its proper divisors (7653411072).

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

3839190048 is an equidigital number, since it uses as much as digits as its factorization.

3839190048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3839190048 is about 61961.1979225709. The cubic root of 3839190048 is about 1565.8369495981.

The spelling of 3839190048 in words is "three billion, eight hundred thirty-nine million, one hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 134 144 162 201 216 243 268 288 324 402 432 486 536 603 648 804 864 972 1072 1206 1296 1608 1809 1944 2144 2412 2592 3216 3618 3888 4824 5427 6432 7236 7369 7776 9648 10854 14472 14738 16281 19296 21708 22107 28944 29476 32562 43416 44214 57888 58952 65124 66321 86832 88428 117904 130248 132642 173664 176856 198963 235808 260496 265284 353712 397926 493723 520992 530568 596889 707424 795852 987446 1061136 1193778 1481169 1591704 1790667 1974892 2122272 2387556 2962338 3183408 3581334 3949784 4443507 4775112 5924676 6366816 7162668 7899568 8887014 9550224 11849352 13330521 14325336 15799136 17774028 19100448 23698704 26661042 28650672 35548056 39991563 47397408 53322084 57301344 71096112 79983126 106644168 119974689 142192224 159966252 213288336 239949378 319932504 426576672 479898756 639865008 959797512 1279730016 1919595024 3839190048