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564270264 = 233233123677
BaseRepresentation
bin100001101000100…
…001010010111000
31110022202220021200
4201220201102320
52123423122024
6131554134200
716661134545
oct4150412270
91408686250
10564270264
1126a574668
12138b81360
138cb9893c
1454d25bcc
15348112c9
hex21a214b8

564270264 has 48 divisors (see below), whose sum is σ = 1532913720. Its totient is φ = 187513920.

The previous prime is 564270263. The next prime is 564270269. The reversal of 564270264 is 462072465.

564270264 is a `hidden beast` number, since 5 + 642 + 7 + 0 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564270263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11994 + ... + 35670.

Almost surely, 2564270264 is an apocalyptic number.

It is an amenable number.

564270264 is an abundant number, since it is smaller than the sum of its proper divisors (968643456).

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

564270264 is a wasteful number, since it uses less digits than its factorization.

564270264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24020 (or 24013 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 564270264 is about 23754.3735762491. The cubic root of 564270264 is about 826.3468732120.

The spelling of 564270264 in words is "five hundred sixty-four million, two hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 331 662 993 1324 1986 2648 2979 3972 5958 7944 11916 23677 23832 47354 71031 94708 142062 189416 213093 284124 426186 568248 852372 1704744 7837087 15674174 23511261 31348348 47022522 62696696 70533783 94045044 141067566 188090088 282135132 564270264