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482109840 = 24335613659
BaseRepresentation
bin11100101111000…
…110100110010000
31020121011201101000
4130233012212100
51441410003330
6115501142000
714642603022
oct3457064620
91217151330
10482109840
11228158293
1211555a900
1378b600c4
144805a012
152c4d2560
hex1cbc6990

482109840 has 160 divisors (see below), whose sum is σ = 1688284800. Its totient is φ = 126420480.

The previous prime is 482109839. The next prime is 482109847. The reversal of 482109840 is 48901284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 482109795 and 482109804.

It is not an unprimeable number, because it can be changed into a prime (482109847) 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, 129931 + ... + 133589.

It is an arithmetic number, because the mean of its divisors is an integer number (10551780).

Almost surely, 2482109840 is an apocalyptic number.

482109840 is a gapful number since it is divisible by the number (40) 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 482109840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844142400).

482109840 is an abundant number, since it is smaller than the sum of its proper divisors (1206174960).

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

482109840 is a wasteful number, since it uses less digits than its factorization.

482109840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 482109840 is about 21956.9997950540. Note that the first 3 decimals coincide. The cubic root of 482109840 is about 784.1190382210.

The spelling of 482109840 in words is "four hundred eighty-two million, one hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 915 976 1080 1098 1220 1464 1647 1830 2160 2196 2440 2745 2928 3294 3659 3660 4392 4880 5490 6588 7318 7320 8235 8784 10977 10980 13176 14636 14640 16470 18295 21954 21960 26352 29272 32931 32940 36590 43908 43920 54885 58544 65862 65880 73180 87816 98793 109770 131724 131760 146360 164655 175632 197586 219540 223199 263448 292720 329310 395172 439080 446398 493965 526896 658620 669597 790344 878160 892796 987930 1115995 1317240 1339194 1580688 1785592 1975860 2008791 2231990 2634480 2678388 3347985 3571184 3951720 4017582 4463980 5356776 6026373 6695970 7903440 8035164 8927960 10043955 10713552 12052746 13391940 16070328 17855920 20087910 24105492 26783880 30131865 32140656 40175820 48210984 53567760 60263730 80351640 96421968 120527460 160703280 241054920 482109840