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64507136 = 28298689
BaseRepresentation
bin1111011000010…
…0110100000000
311111101022011012
43312010310000
5113003212021
610222340052
71412205311
oct366046400
9144338135
1064507136
113345a191
121972a628
1310497605
1487d2608
1559e335b
hex3d84d00

64507136 has 36 divisors (see below), whose sum is σ = 133217700. Its totient is φ = 31137792.

The previous prime is 64507127. The next prime is 64507139. The reversal of 64507136 is 63170546.

It can be written as a sum of positive squares in 2 ways, for example, as 47334400 + 17172736 = 6880^2 + 4144^2 .

It is a super-2 number, since 2×645071362 = 8322341189844992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64507139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3080 + ... + 11768.

Almost surely, 264507136 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 64507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66608850).

64507136 is an abundant number, since it is smaller than the sum of its proper divisors (68710564).

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

64507136 is an equidigital number, since it uses as much as digits as its factorization.

64507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8734 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 64507136 is about 8031.6334577718. The cubic root of 64507136 is about 401.0537548972.

The spelling of 64507136 in words is "sixty-four million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 8689 17378 34756 69512 139024 251981 278048 503962 556096 1007924 1112192 2015848 2224384 4031696 8063392 16126784 32253568 64507136