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86089976 = 23731101491
BaseRepresentation
bin1010010000110…
…10000011111000
312222222211020122
411020122003320
5134014334401
612313112412
72063516120
oct510320370
9188884218
1086089976
1144660745
12249b8708
1314ab331b
14b60dc80
15785821b
hex521a0f8

86089976 has 64 divisors (see below), whose sum is σ = 192706560. Its totient is φ = 35280000.

The previous prime is 86089957. The next prime is 86090047. The reversal of 86089976 is 67998068.

It is a super-2 number, since 2×860899762 = 14822967935361152, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 175091 + ... + 175581.

It is an arithmetic number, because the mean of its divisors is an integer number (3011040).

Almost surely, 286089976 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 86089976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96353280).

86089976 is an abundant number, since it is smaller than the sum of its proper divisors (106616584).

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

86089976 is a wasteful number, since it uses less digits than its factorization.

86089976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The square root of 86089976 is about 9278.4684080941. The cubic root of 86089976 is about 441.5543784479.

The spelling of 86089976 in words is "eighty-six million, eighty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 101 124 202 217 248 404 434 491 707 808 868 982 1414 1736 1964 2828 3131 3437 3928 5656 6262 6874 12524 13748 15221 21917 25048 27496 30442 43834 49591 60884 87668 99182 106547 121768 175336 198364 213094 347137 396728 426188 694274 852376 1388548 1537321 2777096 3074642 6149284 10761247 12298568 21522494 43044988 86089976