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64515136 = 2671743197
BaseRepresentation
bin1111011000011…
…0110001000000
311111101201010111
43312012301000
5113003441021
610222441104
71412240530
oct366066100
9144351114
1064515136
11334651a4
1219733194
131049b14a
1487d54c0
1559e58e1
hex3d86c40

64515136 has 112 divisors (see below), whose sum is σ = 159325056. Its totient is φ = 25288704.

The previous prime is 64515131. The next prime is 64515173. The reversal of 64515136 is 63151546.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 64515098 and 64515107.

It is not an unprimeable number, because it can be changed into a prime (64515131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327390 + ... + 327586.

Almost surely, 264515136 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 64515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79662528).

64515136 is an abundant number, since it is smaller than the sum of its proper divisors (94809920).

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

64515136 is a wasteful number, since it uses less digits than its factorization.

64515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 64515136 is about 8032.1314730276. The cubic root of 64515136 is about 401.0703334114.

The spelling of 64515136 in words is "sixty-four million, five hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 43 56 64 68 86 112 119 136 172 197 224 238 272 301 344 394 448 476 544 602 688 731 788 952 1088 1204 1376 1379 1462 1576 1904 2408 2752 2758 2924 3152 3349 3808 4816 5117 5516 5848 6304 6698 7616 8471 9632 10234 11032 11696 12608 13396 16942 19264 20468 22064 23392 23443 26792 33884 40936 44128 46784 46886 53584 59297 67768 81872 88256 93772 107168 118594 135536 144007 163744 187544 214336 237188 271072 288014 327488 375088 474376 542144 576028 750176 948752 1008049 1152056 1500352 1897504 2016098 2304112 3795008 4032196 4608224 8064392 9216448 16128784 32257568 64515136