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925981056 = 273271121373
BaseRepresentation
bin110111001100010…
…101100110000000
32101112101201012200
4313030111212000
53344022343211
6231514553200
731642465140
oct6714254600
92345351180
10925981056
11435768300
1221a138800
13119ac22b0
148ada0920
155645eb56
hex37315980

925981056 has 576 divisors, whose sum is σ = 3654137760. Its totient is φ = 218972160.

The previous prime is 925981039. The next prime is 925981097. The reversal of 925981056 is 650189529.

925981056 is a `hidden beast` number, since 9 + 2 + 598 + 1 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12684636 + ... + 12684708.

Almost surely, 2925981056 is an apocalyptic number.

925981056 is a gapful number since it is divisible by the number (96) 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 925981056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827068880).

925981056 is an abundant number, since it is smaller than the sum of its proper divisors (2728156704).

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

925981056 is a wasteful number, since it uses less digits than its factorization.

925981056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 925981056 is about 30429.9368385805. The cubic root of 925981056 is about 974.6919231781.

The spelling of 925981056 in words is "nine hundred twenty-five million, nine hundred eighty-one thousand, fifty-six".