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382961088 = 2633221621
BaseRepresentation
bin10110110100111…
…000010111000000
3222200121102212000
4112310320113000
51241014223323
6102000104000
712330054426
oct2664702700
9880542760
10382961088
11187198374
12a8305000
1361456bc3
1438c0b116
1523949e43
hex16d385c0

382961088 has 56 divisors (see below), whose sum is σ = 1125839760. Its totient is φ = 127653120.

The previous prime is 382961083. The next prime is 382961113. The reversal of 382961088 is 880169283.

382961088 is a `hidden beast` number, since 3 + 8 + 29 + 610 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382961081) 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 7 ways as a sum of consecutive naturals, for example, 109083 + ... + 112538.

Almost surely, 2382961088 is an apocalyptic number.

It is an amenable number.

382961088 is an abundant number, since it is smaller than the sum of its proper divisors (742878672).

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

382961088 is a wasteful number, since it uses less digits than its factorization.

382961088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221642 (or 221626 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 382961088 is about 19569.3916103695. The cubic root of 382961088 is about 726.1921491261.

The spelling of 382961088 in words is "three hundred eighty-two million, nine hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 221621 443242 664863 886484 1329726 1772968 1994589 2659452 3545936 3989178 5318904 5983767 7091872 7978356 10637808 11967534 14183744 15956712 21275616 23935068 31913424 42551232 47870136 63826848 95740272 127653696 191480544 382961088