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64463136 = 2533121661
BaseRepresentation
bin1111010111101…
…0000100100000
311111022001210120
43311322010200
5113000310021
610221400240
71411633113
oct365720440
9144261716
1064463136
113342a121
1219709080
131048058a
1487c057a
1559d52c6
hex3d7a120

64463136 has 48 divisors (see below), whose sum is σ = 174682368. Its totient is φ = 20793600.

The previous prime is 64463129. The next prime is 64463171. The reversal of 64463136 is 63136446.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64463097 and 64463106.

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, 7855 + ... + 13806.

It is an arithmetic number, because the mean of its divisors is an integer number (3639216).

Almost surely, 264463136 is an apocalyptic number.

It is an amenable number.

64463136 is an abundant number, since it is smaller than the sum of its proper divisors (110219232).

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

64463136 is a wasteful number, since it uses less digits than its factorization.

64463136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21705 (or 21697 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 64463136 is about 8028.8938216918. The cubic root of 64463136 is about 400.9625485594.

The spelling of 64463136 in words is "sixty-four million, four hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 21661 43322 64983 86644 129966 173288 259932 346576 519864 671491 693152 1039728 1342982 2014473 2079456 2685964 4028946 5371928 8057892 10743856 16115784 21487712 32231568 64463136