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509468224 = 2653150197
BaseRepresentation
bin11110010111011…
…101111001000000
31022111122200000111
4132113131321000
52020410440344
6122315401104
715424260046
oct3627357100
91274580014
10509468224
11241644021
12122753194
138171b8b5
144b93c396
152ead8834
hex1e5dde40

509468224 has 28 divisors (see below), whose sum is σ = 1030057884. Its totient is φ = 249926144.

The previous prime is 509468213. The next prime is 509468231. The reversal of 509468224 is 422864905.

It can be written as a sum of positive squares in 2 ways, for example, as 315701824 + 193766400 = 17768^2 + 13920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71707 + ... + 78490.

Almost surely, 2509468224 is an apocalyptic number.

It is an amenable number.

509468224 is an abundant number, since it is smaller than the sum of its proper divisors (520589660).

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

509468224 is a wasteful number, since it uses less digits than its factorization.

509468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150262 (or 150252 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 509468224 is about 22571.4027920287. The cubic root of 509468224 is about 798.6791871837.

The spelling of 509468224 in words is "five hundred nine million, four hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 150197 300394 600788 1201576 2403152 4806304 7960441 9612608 15920882 31841764 63683528 127367056 254734112 509468224