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456930656 = 25713156913
BaseRepresentation
bin11011001111000…
…011010101100000
31011211210111000122
4123033003111200
51413433240111
6113201335412
714215563230
oct3317032540
91154714018
10456930656
11214a1a846
12109037568
1373885490
1444983cc0
152a1abcdb
hex1b3c3560

456930656 has 48 divisors (see below), whose sum is σ = 1107185184. Its totient is φ = 180762624.

The previous prime is 456930647. The next prime is 456930671. The reversal of 456930656 is 656039654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75545 + ... + 81368.

It is an arithmetic number, because the mean of its divisors is an integer number (23066358).

Almost surely, 2456930656 is an apocalyptic number.

It is an amenable number.

456930656 is an abundant number, since it is smaller than the sum of its proper divisors (650254528).

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

456930656 is a wasteful number, since it uses less digits than its factorization.

456930656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156943 (or 156935 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 44.

The square root of 456930656 is about 21375.9363771508. The cubic root of 456930656 is about 770.2235006457.

The spelling of 456930656 in words is "four hundred fifty-six million, nine hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 156913 313826 627652 1098391 1255304 2039869 2196782 2510608 4079738 4393564 5021216 8159476 8787128 14279083 16318952 17574256 28558166 32637904 35148512 57116332 65275808 114232664 228465328 456930656