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832972928 = 2725512
BaseRepresentation
bin110001101001100…
…010100010000000
32011001101102001012
4301221202202000
53201220113203
6214353300052
726433103334
oct6151424200
92131342035
10832972928
11398211987
121b2b64628
131037590b8
147c8ad7c4
154d1dbbd8
hex31a62880

832972928 has 24 divisors (see below), whose sum is σ = 1660089015. Its totient is φ = 416323200.

The previous prime is 832972871. The next prime is 832972949. The reversal of 832972928 is 829279238.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 416486464 + 416486464 = 20408^2 + 20408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=20408.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 325253 + ... + 327803.

Almost surely, 2832972928 is an apocalyptic number.

It is an amenable number.

832972928 is a deficient number, since it is larger than the sum of its proper divisors (827116087).

832972928 is an frugal number, since it uses more digits than its factorization.

832972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 2553 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 832972928 is about 28861.2703809101. The cubic root of 832972928 is about 940.9003475576.

Multiplying 832972928 by its sum of digits (50), we get a square (41648646400 = 2040802).

The spelling of 832972928 in words is "eight hundred thirty-two million, nine hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 2551 5102 10204 20408 40816 81632 163264 326528 6507601 13015202 26030404 52060808 104121616 208243232 416486464 832972928