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64385604 = 22341910459
BaseRepresentation
bin1111010110011…
…1001001000100
311111011010110000
43311213021010
5112440314404
610220001300
71411161063
oct365471104
9144133400
1064385604
1133386948
1219690230
13104541ba
1487a01da
1559bc339
hex3d67244

64385604 has 60 divisors (see below), whose sum is σ = 177192400. Its totient is φ = 20330352.

The previous prime is 64385567. The next prime is 64385617. The reversal of 64385604 is 40658346.

64385604 is a `hidden beast` number, since 6 + 43 + 8 + 5 + 604 = 666.

64385604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 927 + ... + 11385.

Almost surely, 264385604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64385604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88596200).

64385604 is an abundant number, since it is smaller than the sum of its proper divisors (112806796).

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

64385604 is a wasteful number, since it uses less digits than its factorization.

64385604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 64385604 is about 8024.0640575708. The cubic root of 64385604 is about 400.8017336509.

The spelling of 64385604 in words is "sixty-four million, three hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 10459 20918 31377 41836 62754 94131 125508 188262 198721 282393 376524 397442 564786 596163 794884 847179 1129572 1192326 1694358 1788489 2384652 3388716 3576978 5365467 7153956 10730934 16096401 21461868 32192802 64385604