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456540831 = 32172983927
BaseRepresentation
bin11011001101100…
…100001010011111
31011211001200021200
4123031210022133
51413333301311
6113145130543
714212350555
oct3315441237
91154050250
10456540831
1121478397a
12108a89a53
1373779c06
14448c1bd5
152a131556
hex1b36429f

456540831 has 12 divisors (see below), whose sum is σ = 698239152. Its totient is φ = 286456896.

The previous prime is 456540829. The next prime is 456540853. The reversal of 456540831 is 138045654.

It is a happy number.

It is not a de Polignac number, because 456540831 - 21 = 456540829 is a prime.

It is a super-2 number, since 2×4565408312 = 416859060740341122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456540871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1491811 + ... + 1492116.

It is an arithmetic number, because the mean of its divisors is an integer number (58186596).

Almost surely, 2456540831 is an apocalyptic number.

456540831 is a deficient number, since it is larger than the sum of its proper divisors (241698321).

456540831 is a wasteful number, since it uses less digits than its factorization.

456540831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983950 (or 2983947 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 456540831 is about 21366.8161175220. The cubic root of 456540831 is about 770.0044026285.

The spelling of 456540831 in words is "four hundred fifty-six million, five hundred forty thousand, eight hundred thirty-one".

Divisors: 1 3 9 17 51 153 2983927 8951781 26855343 50726759 152180277 456540831