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456142652 = 22719857411
BaseRepresentation
bin11011001100000…
…010111100111100
31011210022110002022
4123030002330330
51413233031102
6113132415312
714206101650
oct3314027474
91153273068
10456142652
112145317a9
12108917538
137366a8c4
144481aa60
152a0a35a2
hex1b302f3c

456142652 has 24 divisors (see below), whose sum is σ = 960301440. Its totient is φ = 185200560.

The previous prime is 456142627. The next prime is 456142663. The reversal of 456142652 is 256241654.

It is a super-2 number, since 2×4561426522 = 416132237947186208, which contains 22 as substring.

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, 428174 + ... + 429237.

It is an arithmetic number, because the mean of its divisors is an integer number (40012560).

Almost surely, 2456142652 is an apocalyptic number.

It is an amenable number.

456142652 is an abundant number, since it is smaller than the sum of its proper divisors (504158788).

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

456142652 is a wasteful number, since it uses less digits than its factorization.

456142652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857441 (or 857439 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 456142652 is about 21357.4963888561. The cubic root of 456142652 is about 769.7804805164.

The spelling of 456142652 in words is "four hundred fifty-six million, one hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 857411 1714822 3429644 6001877 12003754 16290809 24007508 32581618 65163236 114035663 228071326 456142652