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64912064 = 26732957
BaseRepresentation
bin1111011110011…
…1101011000000
311112010212121112
43313213223000
5113104141224
610235142452
71415513000
oct367475300
9145125545
1064912064
1133706438
12198a4a28
13105a9a09
14889a000
155a7330e
hex3de7ac0

64912064 has 56 divisors (see below), whose sum is σ = 150266400. Its totient is φ = 27810048.

The previous prime is 64912051. The next prime is 64912129. The reversal of 64912064 is 46021946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 64912064.

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, 20474 + ... + 23430.

Almost surely, 264912064 is an apocalyptic number.

64912064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75133200).

64912064 is an abundant number, since it is smaller than the sum of its proper divisors (85354336).

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

64912064 is an equidigital number, since it uses as much as digits as its factorization.

64912064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 64912064 is about 8056.8023433618. The cubic root of 64912064 is about 401.8911778577.

The spelling of 64912064 in words is "sixty-four million, nine hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 2957 3136 5488 5914 10976 11828 20699 21952 23656 41398 47312 82796 94624 144893 165592 189248 289786 331184 579572 662368 1014251 1159144 1324736 2028502 2318288 4057004 4636576 8114008 9273152 16228016 32456032 64912064