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381835656 = 233213140483
BaseRepresentation
bin10110110000100…
…101100110001000
3222121111021001100
4112300211212020
51240222220111
6101520021400
712314356326
oct2660454610
9877437040
10381835656
11186599864
12a7a61860
1361151877
14389d6d16
15237c6756
hex16c25988

381835656 has 48 divisors (see below), whose sum is σ = 1042058160. Its totient is φ = 126303840.

The previous prime is 381835621. The next prime is 381835681. The reversal of 381835656 is 656538183.

381835656 is a `hidden beast` number, since 3 + 8 + 1 + 83 + 565 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10810 + ... + 29673.

It is an arithmetic number, because the mean of its divisors is an integer number (21709545).

Almost surely, 2381835656 is an apocalyptic number.

381835656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381835656 is an abundant number, since it is smaller than the sum of its proper divisors (660222504).

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

381835656 is a wasteful number, since it uses less digits than its factorization.

381835656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40626 (or 40619 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 381835656 is about 19540.6155481346. The cubic root of 381835656 is about 725.4800821864.

The spelling of 381835656 in words is "three hundred eighty-one million, eight hundred thirty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 40483 80966 121449 161932 242898 323864 364347 485796 728694 971592 1457388 2914776 5303273 10606546 15909819 21213092 31819638 42426184 47729457 63639276 95458914 127278552 190917828 381835656