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86425024 = 267331127
BaseRepresentation
bin1010010011010…
…11110111000000
320000121211211211
411021223313000
5134111100044
612324215504
72066413000
oct511536700
9200554754
1086425024
114486a444
1224b3a594
1314b9c98a
14b69a000
1578c2634
hex526bdc0

86425024 has 112 divisors (see below), whose sum is σ = 208076800. Its totient is φ = 35562240.

The previous prime is 86425019. The next prime is 86425049. The reversal of 86425024 is 42052468.

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

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680449 + ... + 680575.

Almost surely, 286425024 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 86425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104038400).

86425024 is an abundant number, since it is smaller than the sum of its proper divisors (121651776).

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

86425024 is a wasteful number, since it uses less digits than its factorization.

86425024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 86425024 is about 9296.5060103245. The cubic root of 86425024 is about 442.1264559042.

The spelling of 86425024 in words is "eighty-six million, four hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 127 196 217 224 248 254 343 392 434 448 496 508 686 784 868 889 992 1016 1372 1519 1568 1736 1778 1984 2032 2744 3038 3136 3472 3556 3937 4064 5488 6076 6223 6944 7112 7874 8128 10633 10976 12152 12446 13888 14224 15748 21266 21952 24304 24892 27559 28448 31496 42532 43561 48608 49784 55118 56896 62992 85064 87122 97216 99568 110236 125984 170128 174244 192913 199136 220472 251968 340256 348488 385826 398272 440944 680512 696976 771652 881888 1350391 1393952 1543304 1763776 2700782 2787904 3086608 5401564 6173216 10803128 12346432 21606256 43212512 86425024