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925664256 = 210321123397
BaseRepresentation
bin110111001011001…
…000010000000000
32101111210121122100
4313023020100000
53343432224011
6231504110400
731640005416
oct6713102000
92344717570
10925664256
11435571290
1221a005400
13119a1103a
148ad1b2b6
15563ead56
hex372c8400

925664256 has 264 divisors, whose sum is σ = 3050259264. Its totient is φ = 267632640.

The previous prime is 925664231. The next prime is 925664281. The reversal of 925664256 is 652466529.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (925664231) and next prime (925664281).

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331450 + ... + 2331846.

Almost surely, 2925664256 is an apocalyptic number.

925664256 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 925664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525129632).

925664256 is an abundant number, since it is smaller than the sum of its proper divisors (2124595008).

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

925664256 is a wasteful number, since it uses less digits than its factorization.

925664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 925664256 is about 30424.7309930589. The cubic root of 925664256 is about 974.5807554532.

The spelling of 925664256 in words is "nine hundred twenty-five million, six hundred sixty-four thousand, two hundred fifty-six".