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465484375 = 56313
BaseRepresentation
bin11011101111101…
…011101001010111
31012102220001112001
4123233223221113
51423131000000
6114104540131
714351360206
oct3357535127
91172801461
10465484375
11219832334
1210ba81647
137558b955
1445b6d23d
152aceb46a
hex1bbeba57

465484375 has 28 divisors (see below), whose sum is σ = 601242304. Its totient is φ = 360375000.

The previous prime is 465484303. The next prime is 465484421. The reversal of 465484375 is 573484564.

The cubic root of 465484375 is 775.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 465484375 - 27 = 465484247 is a prime.

It is a Duffinian number.

Its product of digits (1612800) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15015610 + ... + 15015640.

Almost surely, 2465484375 is an apocalyptic number.

465484375 is a deficient number, since it is larger than the sum of its proper divisors (135757929).

465484375 is an frugal number, since it uses more digits than its factorization.

465484375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 36 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 46.

The square root of 465484375 is about 21575.0869059663.

The spelling of 465484375 in words is "four hundred sixty-five million, four hundred eighty-four thousand, three hundred seventy-five".

Divisors: 1 5 25 31 125 155 625 775 961 3125 3875 4805 15625 19375 24025 29791 96875 120125 148955 484375 600625 744775 3003125 3723875 15015625 18619375 93096875 465484375