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64104576 = 2731391201
BaseRepresentation
bin1111010010001…
…0100010000000
311110121211221120
43310202202000
5112402321301
610205552240
71405610544
oct364424200
9143554846
1064104576
1133204798
1219575680
1310386303
148729a24
155963e36
hex3d22880

64104576 has 64 divisors (see below), whose sum is σ = 171645600. Its totient is φ = 21196800.

The previous prime is 64104563. The next prime is 64104577. The reversal of 64104576 is 67540146.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (64104577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52776 + ... + 53976.

Almost surely, 264104576 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 64104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85822800).

64104576 is an abundant number, since it is smaller than the sum of its proper divisors (107541024).

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

64104576 is a wasteful number, since it uses less digits than its factorization.

64104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 64104576 is about 8006.5333322231. The cubic root of 64104576 is about 400.2177481096.

The spelling of 64104576 in words is "sixty-four million, one hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1201 1668 2224 2402 3336 3603 4448 4804 6672 7206 8896 9608 13344 14412 17792 19216 26688 28824 38432 53376 57648 76864 115296 153728 166939 230592 333878 461184 500817 667756 1001634 1335512 2003268 2671024 4006536 5342048 8013072 10684096 16026144 21368192 32052288 64104576