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64396032 = 283191439
BaseRepresentation
bin1111010110100…
…1101100000000
311111011122202020
43311221230000
5112441133112
610220121440
71411233351
oct365515400
9144148666
1064396032
1133393768
1219696280
1310458b7c
1487a3d28
1559c048c
hex3d69b00

64396032 has 72 divisors (see below), whose sum is σ = 172677120. Its totient is φ = 21304320.

The previous prime is 64396019. The next prime is 64396043. The reversal of 64396032 is 23069346.

It is a junction number, because it is equal to n+sod(n) for n = 64395984 and 64396002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146469 + ... + 146907.

Almost surely, 264396032 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 64396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86338560).

64396032 is an abundant number, since it is smaller than the sum of its proper divisors (108281088).

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

64396032 is a wasteful number, since it uses less digits than its factorization.

64396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 64396032 is about 8024.7138266732. The cubic root of 64396032 is about 400.8233706557.

The spelling of 64396032 in words is "sixty-four million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 439 573 764 768 878 1146 1317 1528 1756 2292 2634 3056 3512 4584 5268 6112 7024 9168 10536 12224 14048 18336 21072 24448 28096 36672 42144 48896 56192 73344 83849 84288 112384 146688 167698 168576 251547 335396 337152 503094 670792 1006188 1341584 2012376 2683168 4024752 5366336 8049504 10732672 16099008 21465344 32198016 64396032