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509464152 = 23327279733
BaseRepresentation
bin11110010111011…
…100111001011000
31022111122110102200
4132113130321120
52020410323102
6122315330200
715424242141
oct3627347130
91274573380
10509464152
11241640a5a
12122750960
1381719aa2
144b93aac8
152ead751c
hex1e5dce58

509464152 has 48 divisors (see below), whose sum is σ = 1381838640. Its totient is φ = 169570368.

The previous prime is 509464133. The next prime is 509464169. The reversal of 509464152 is 251464905.

509464152 is a `hidden beast` number, since 5 + 0 + 9 + 4 + 641 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47478 + ... + 57210.

It is an arithmetic number, because the mean of its divisors is an integer number (28788305).

Almost surely, 2509464152 is an apocalyptic number.

It is an amenable number.

509464152 is an abundant number, since it is smaller than the sum of its proper divisors (872374488).

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

509464152 is a wasteful number, since it uses less digits than its factorization.

509464152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 509464152 is about 22571.3125892138. The cubic root of 509464152 is about 798.6770593242.

The spelling of 509464152 in words is "five hundred nine million, four hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 727 1454 2181 2908 4362 5816 6543 8724 9733 13086 17448 19466 26172 29199 38932 52344 58398 77864 87597 116796 175194 233592 350388 700776 7075891 14151782 21227673 28303564 42455346 56607128 63683019 84910692 127366038 169821384 254732076 509464152