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64307776 = 2613372089
BaseRepresentation
bin1111010101010…
…0001001000000
311111000011200111
43311110021000
5112430322101
610214201104
71410415141
oct365241100
9144004614
1064307776
1133333425
1219653194
1310427950
14877dac8
1559a4251
hex3d54240

64307776 has 56 divisors (see below), whose sum is σ = 141208760. Its totient is φ = 28864512.

The previous prime is 64307759. The next prime is 64307777. The reversal of 64307776 is 67770346.

It can be written as a sum of positive squares in 4 ways, for example, as 23040000 + 41267776 = 4800^2 + 6424^2 .

It is not an unprimeable number, because it can be changed into a prime (64307777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29740 + ... + 31828.

It is an arithmetic number, because the mean of its divisors is an integer number (2521585).

Almost surely, 264307776 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 64307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70604380).

64307776 is an abundant number, since it is smaller than the sum of its proper divisors (76900984).

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

64307776 is a wasteful number, since it uses less digits than its factorization.

64307776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The square root of 64307776 is about 8019.2129289600. The cubic root of 64307776 is about 400.6401748937.

The spelling of 64307776 in words is "sixty-four million, three hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2089 2368 3848 4178 7696 8356 15392 16712 27157 30784 33424 54314 66848 77293 108628 133696 154586 217256 309172 434512 618344 869024 1004809 1236688 1738048 2009618 2473376 4019236 4946752 8038472 16076944 32153888 64307776