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64335968 = 2523611433
BaseRepresentation
bin1111010101101…
…1000001100000
311111001121100122
43311123001200
5112432222333
610214535412
71410563264
oct365330140
9144047318
1064335968
1133352624
1219667568
1310437728
14878a0a4
1559ac798
hex3d5b060

64335968 has 48 divisors (see below), whose sum is σ = 134428896. Its totient is φ = 30243840.

The previous prime is 64335967. The next prime is 64335977. The reversal of 64335968 is 86953346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64335961) 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, 44180 + ... + 45612.

It is an arithmetic number, because the mean of its divisors is an integer number (2800602).

Almost surely, 264335968 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 64335968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67214448).

64335968 is an abundant number, since it is smaller than the sum of its proper divisors (70092928).

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

64335968 is a wasteful number, since it uses less digits than its factorization.

64335968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1519 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 64335968 is about 8020.9705148442. The cubic root of 64335968 is about 400.6987121261.

The spelling of 64335968 in words is "sixty-four million, three hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 244 368 488 736 976 1403 1433 1952 2806 2866 5612 5732 11224 11464 22448 22928 32959 44896 45856 65918 87413 131836 174826 263672 349652 527344 699304 1054688 1398608 2010499 2797216 4020998 8041996 16083992 32167984 64335968