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86713728 = 273241937
BaseRepresentation
bin1010010101100…
…10010110000000
320001011111212120
411022302112000
5134144314403
612334324240
72102024463
oct512622600
9201144776
1086713728
1144a47342
1225059680
1314c711ca
14b7332da
15792ce53
hex52b2580

86713728 has 64 divisors (see below), whose sum is σ = 231535920. Its totient is φ = 28753920.

The previous prime is 86713709. The next prime is 86713733. The reversal of 86713728 is 82731768.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 86713728.

It is a congruent number.

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, 92076 + ... + 93012.

Almost surely, 286713728 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 86713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115767960).

86713728 is an abundant number, since it is smaller than the sum of its proper divisors (144822192).

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

86713728 is a wasteful number, since it uses less digits than its factorization.

86713728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1183 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 86713728 is about 9312.0206185339. The cubic root of 86713728 is about 442.6182185974.

The spelling of 86713728 in words is "eighty-six million, seven hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 384 482 723 937 964 1446 1874 1928 2811 2892 3748 3856 5622 5784 7496 7712 11244 11568 14992 15424 22488 23136 29984 30848 44976 46272 59968 89952 92544 119936 179904 225817 359808 451634 677451 903268 1354902 1806536 2709804 3613072 5419608 7226144 10839216 14452288 21678432 28904576 43356864 86713728