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456065652 = 22375429353
BaseRepresentation
bin11011001011110…
…000001001110100
31011210011112110110
4123023300021310
51413223100102
6113131023020
714205331320
oct3313601164
91153145413
10456065652
11214489969
1210889aa70
1373641843
14447da980
152a08a86c
hex1b2f0274

456065652 has 24 divisors (see below), whose sum is σ = 1216175296. Its totient is φ = 130304448.

The previous prime is 456065651. The next prime is 456065653. The reversal of 456065652 is 256560654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456065651) and next prime (456065653).

It is a super-3 number, since 3×4560656523 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456065652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456065651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2714593 + ... + 2714760.

Almost surely, 2456065652 is an apocalyptic number.

456065652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456065652 is an abundant number, since it is smaller than the sum of its proper divisors (760109644).

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

456065652 is a wasteful number, since it uses less digits than its factorization.

456065652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429367 (or 5429365 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The square root of 456065652 is about 21355.6936670294. The cubic root of 456065652 is about 769.7371633419.

The spelling of 456065652 in words is "four hundred fifty-six million, sixty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5429353 10858706 16288059 21717412 32576118 38005471 65152236 76010942 114016413 152021884 228032826 456065652