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64813936 = 2411372269
BaseRepresentation
bin1111011100111…
…1101101110000
311111221220000011
43313033231300
5113043021221
610233104304
71414623625
oct367175560
9144856004
1064813936
1133649740
1219858094
1310574155
14887234c
155a541e1
hex3dcfb70

64813936 has 60 divisors (see below), whose sum is σ = 141319080. Its totient is φ = 28558080.

The previous prime is 64813933. The next prime is 64813937. The reversal of 64813936 is 63931846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64813933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240810 + ... + 241078.

It is an arithmetic number, because the mean of its divisors is an integer number (2355318).

Almost surely, 264813936 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 64813936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70659540).

64813936 is an abundant number, since it is smaller than the sum of its proper divisors (76505144).

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

64813936 is a wasteful number, since it uses less digits than its factorization.

64813936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 319 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 64813936 is about 8050.7102792238. The cubic root of 64813936 is about 401.6885618669.

The spelling of 64813936 in words is "sixty-four million, eight hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 269 296 407 538 592 814 1076 1369 1628 2152 2738 2959 3256 4304 5476 5918 6512 9953 10952 11836 15059 19906 21904 23672 30118 39812 47344 60236 79624 109483 120472 159248 218966 240944 368261 437932 736522 875864 1473044 1751728 2946088 4050871 5892176 8101742 16203484 32406968 64813936