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64536672 = 253739209
BaseRepresentation
bin1111011000110…
…0000001100000
311111102210200010
43312030001200
5113010133142
610223124520
71412360364
oct366140140
9144383603
1064536672
113347a3a2
1219743740
13104a7ba5
1487dd2a4
1559ebe9c
hex3d8c060

64536672 has 48 divisors (see below), whose sum is σ = 171748080. Its totient is φ = 21215232.

The previous prime is 64536653. The next prime is 64536697. The reversal of 64536672 is 27663546.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64536672.

It is a congruent number.

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, 2404 + ... + 11612.

It is an arithmetic number, because the mean of its divisors is an integer number (3578085).

Almost surely, 264536672 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 64536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85874040).

64536672 is an abundant number, since it is smaller than the sum of its proper divisors (107211408).

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

64536672 is a wasteful number, since it uses less digits than its factorization.

64536672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295 (or 9287 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 64536672 is about 8033.4719766736. The cubic root of 64536672 is about 401.1149559621.

The spelling of 64536672 in words is "sixty-four million, five hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 9209 18418 27627 36836 55254 73672 110508 147344 221016 294688 442032 672257 884064 1344514 2016771 2689028 4033542 5378056 8067084 10756112 16134168 21512224 32268336 64536672