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468083457 = 32174996131
BaseRepresentation
bin11011111001100…
…110001100000001
31012121210002210100
4123321212030001
51424312132312
6114240353013
714412433542
oct3371461401
91177702710
10468083457
11220248036
12110915769
1375c8b97a
14462484c9
152b1615dc
hex1be66301

468083457 has 24 divisors (see below), whose sum is σ = 717444000. Its totient is φ = 293063040.

The previous prime is 468083443. The next prime is 468083489. The reversal of 468083457 is 754380864.

468083457 is a `hidden beast` number, since 46 + 80 + 83 + 457 = 666.

It is not a de Polignac number, because 468083457 - 28 = 468083201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468083437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73282 + ... + 79412.

It is an arithmetic number, because the mean of its divisors is an integer number (29893500).

Almost surely, 2468083457 is an apocalyptic number.

It is an amenable number.

468083457 is a deficient number, since it is larger than the sum of its proper divisors (249360543).

468083457 is a wasteful number, since it uses less digits than its factorization.

468083457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6650 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 468083457 is about 21635.2364673927. The cubic root of 468083457 is about 776.4397555503.

The spelling of 468083457 in words is "four hundred sixty-eight million, eighty-three thousand, four hundred fifty-seven".

Divisors: 1 3 9 17 51 153 499 1497 4491 6131 8483 18393 25449 55179 76347 104227 312681 938043 3059369 9178107 27534321 52009273 156027819 468083457