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64392768 = 26321110163
BaseRepresentation
bin1111010110100…
…0111001000000
311111011111021100
43311220321000
5112441032033
610220054400
71411221006
oct365507100
9144144240
1064392768
1133391270
1219694400
131045753b
1487a2a76
1559be513
hex3d68e40

64392768 has 84 divisors (see below), whose sum is σ = 201369168. Its totient is φ = 19511040.

The previous prime is 64392763. The next prime is 64392791. The reversal of 64392768 is 86729346.

It is not an unprimeable number, because it can be changed into a prime (64392761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255 + ... + 11417.

It is an arithmetic number, because the mean of its divisors is an integer number (2397252).

Almost surely, 264392768 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 64392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100684584).

64392768 is an abundant number, since it is smaller than the sum of its proper divisors (136976400).

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

64392768 is a wasteful number, since it uses less digits than its factorization.

64392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10179 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 64392768 is about 8024.5104523578. The cubic root of 64392768 is about 400.8165984496.

The spelling of 64392768 in words is "sixty-four million, three hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 10163 20326 30489 40652 60978 81304 91467 111793 121956 162608 182934 223586 243912 325216 335379 365868 447172 487824 650432 670758 731736 894344 975648 1006137 1341516 1463472 1788688 1951296 2012274 2683032 2926944 3577376 4024548 5366064 5853888 7154752 8049096 10732128 16098192 21464256 32196384 64392768