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64681536 = 2631372459
BaseRepresentation
bin1111011010111…
…1011001000000
311111201011101110
43312233121000
5113024302121
610230203320
71413532623
oct366573100
9144634343
1064681536
1133569217
12197b3540
1310528aca
148839dba
155a29d76
hex3daf640

64681536 has 56 divisors (see below), whose sum is σ = 172455840. Its totient is φ = 21394432.

The previous prime is 64681501. The next prime is 64681553. The reversal of 64681536 is 63518646.

It is a junction number, because it is equal to n+sod(n) for n = 64681494 and 64681503.

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, 25075 + ... + 27533.

Almost surely, 264681536 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 64681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86227920).

64681536 is an abundant number, since it is smaller than the sum of its proper divisors (107774304).

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

64681536 is a wasteful number, since it uses less digits than its factorization.

64681536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2601 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 64681536 is about 8042.4831986147. The cubic root of 64681536 is about 401.4148562208.

The spelling of 64681536 in words is "sixty-four million, six hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 2459 3288 4384 4918 6576 7377 8768 9836 13152 14754 19672 26304 29508 39344 59016 78688 118032 157376 236064 336883 472128 673766 1010649 1347532 2021298 2695064 4042596 5390128 8085192 10780256 16170384 21560512 32340768 64681536