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86066912 = 2531531637
BaseRepresentation
bin1010010000101…
…00011011100000
312222221122121102
411020110123200
5134013120122
612312413532
72063361641
oct510243340
9188848542
1086066912
1144645388
12249a72a8
1314aa5989
14b6056c8
157851492
hex52146e0

86066912 has 48 divisors (see below), whose sum is σ = 178319232. Its totient is φ = 40834560.

The previous prime is 86066909. The next prime is 86066923. The reversal of 86066912 is 21966068.

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, 51758 + ... + 53394.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 286066912 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 86066912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616).

86066912 is an abundant number, since it is smaller than the sum of its proper divisors (92252320).

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

86066912 is a wasteful number, since it uses less digits than its factorization.

86066912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 86066912 is about 9277.2254472983. The cubic root of 86066912 is about 441.5149432731.

The spelling of 86066912 in words is "eighty-six million, sixty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 424 496 848 992 1637 1643 1696 3274 3286 6548 6572 13096 13144 26192 26288 50747 52384 52576 86761 101494 173522 202988 347044 405976 694088 811952 1388176 1623904 2689591 2776352 5379182 10758364 21516728 43033456 86066912