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86991936 = 2632831601
BaseRepresentation
bin1010010111101…
…10010001000000
320001200122111120
411023312101000
5134232220221
612344312240
72104263543
oct513662100
9201618446
1086991936
1145117369
1225172680
131503aa25
14b7a685a
1579855c6
hex52f6440

86991936 has 56 divisors (see below), whose sum is σ = 231123744. Its totient is φ = 28876800.

The previous prime is 86991913. The next prime is 86991977. The reversal of 86991936 is 63919968.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53536 + ... + 55136.

Almost surely, 286991936 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 86991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115561872).

86991936 is an abundant number, since it is smaller than the sum of its proper divisors (144131808).

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

86991936 is a wasteful number, since it uses less digits than its factorization.

86991936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1889 counting only the distinct ones).

The product of its digits is 629856, while the sum is 51.

The square root of 86991936 is about 9326.9467672974. The cubic root of 86991936 is about 443.0910713372.

The spelling of 86991936 in words is "eighty-six million, nine hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1132 1601 1698 2264 3202 3396 4528 4803 6404 6792 9056 9606 12808 13584 18112 19212 25616 27168 38424 51232 54336 76848 102464 153696 307392 453083 906166 1359249 1812332 2718498 3624664 5436996 7249328 10873992 14498656 21747984 28997312 43495968 86991936