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64535136 = 2534714303
BaseRepresentation
bin1111011000101…
…1101001100000
311111102201120020
43312023221200
5113010111021
610223113440
71412353041
oct366135140
9144381506
1064535136
1133479226
1219742880
13104a7293
1487dc8c8
1559eb7c6
hex3d8ba60

64535136 has 48 divisors (see below), whose sum is σ = 173021184. Its totient is φ = 21052544.

The previous prime is 64535113. The next prime is 64535161. The reversal of 64535136 is 63153546.

64535136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 64535097 and 64535106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2640 + ... + 11663.

It is an arithmetic number, because the mean of its divisors is an integer number (3604608).

Almost surely, 264535136 is an apocalyptic number.

It is an amenable number.

64535136 is an abundant number, since it is smaller than the sum of its proper divisors (108486048).

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

64535136 is a wasteful number, since it uses less digits than its factorization.

64535136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14363 (or 14355 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 64535136 is about 8033.3763760949. The cubic root of 64535136 is about 401.1117737018. Note that the first 3 decimals are identical.

The spelling of 64535136 in words is "sixty-four million, five hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 14303 28606 42909 57212 85818 114424 171636 228848 343272 457696 672241 686544 1344482 1373088 2016723 2688964 4033446 5377928 8066892 10755856 16133784 21511712 32267568 64535136