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64383264 = 25321120323
BaseRepresentation
bin1111010110011…
…0100100100000
311111011000020100
43311212210200
5112440231024
610215542400
71411151211
oct365464440
9144130210
1064383264
1133385110
121968aa00
131045310a
14879d408
1559bb7c9
hex3d66920

64383264 has 72 divisors (see below), whose sum is σ = 199744272. Its totient is φ = 19509120.

The previous prime is 64383251. The next prime is 64383283. The reversal of 64383264 is 46238346.

It is a happy number.

64383264 is a `hidden beast` number, since 643 + 8 + 3 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 13329.

It is an arithmetic number, because the mean of its divisors is an integer number (2774226).

Almost surely, 264383264 is an apocalyptic number.

It is an amenable number.

64383264 is an abundant number, since it is smaller than the sum of its proper divisors (135361008).

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

64383264 is a wasteful number, since it uses less digits than its factorization.

64383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350 (or 20339 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 64383264 is about 8023.9182448477. The cubic root of 64383264 is about 400.7968780758.

The spelling of 64383264 in words is "sixty-four million, three hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 20323 40646 60969 81292 121938 162584 182907 223553 243876 325168 365814 447106 487752 650336 670659 731628 894212 975504 1341318 1463256 1788424 1951008 2011977 2682636 2926512 3576848 4023954 5365272 5853024 7153696 8047908 10730544 16095816 21461088 32191632 64383264