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64870272 = 273256311
BaseRepresentation
bin1111011101110…
…1011110000000
311112001202021200
43313131132000
5113101322042
610234221200
71415250105
oct367353600
9145052250
1064870272
1133687aa5
1219884800
131059399c
148888aac
155a65c4c
hex3ddd780

64870272 has 48 divisors (see below), whose sum is σ = 186674280. Its totient is φ = 21623040.

The previous prime is 64870261. The next prime is 64870277. The reversal of 64870272 is 27207846.

64870272 is a `hidden beast` number, since 648 + 7 + 0 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64870277) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27004 + ... + 29307.

Almost surely, 264870272 is an apocalyptic number.

It is an amenable number.

64870272 is an abundant number, since it is smaller than the sum of its proper divisors (121804008).

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

64870272 is a wasteful number, since it uses less digits than its factorization.

64870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56331 (or 56316 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 64870272 is about 8054.2083409855. The cubic root of 64870272 is about 401.8049101652.

The spelling of 64870272 in words is "sixty-four million, eight hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 56311 112622 168933 225244 337866 450488 506799 675732 900976 1013598 1351464 1801952 2027196 2702928 3603904 4054392 5405856 7207808 8108784 10811712 16217568 21623424 32435136 64870272