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86257424 = 24112571907
BaseRepresentation
bin1010010010000…
…10111100010000
320000022022221102
411021002330100
5134040214144
612320443532
72065114241
oct511027420
9200268842
1086257424
1144765530
1224a795a8
1314b415c6
14b654cc8
15788cb4e
hex5242f10

86257424 has 40 divisors (see below), whose sum is σ = 183122208. Its totient is φ = 39034880.

The previous prime is 86257417. The next prime is 86257459. The reversal of 86257424 is 42475268.

It is a super-4 number, since 4×862574244 (a number of 33 digits) contains 4444 as substring.

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, 44279 + ... + 46185.

Almost surely, 286257424 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 86257424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91561104).

86257424 is an abundant number, since it is smaller than the sum of its proper divisors (96864784).

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

86257424 is a wasteful number, since it uses less digits than its factorization.

86257424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 86257424 is about 9287.4874966268. The cubic root of 86257424 is about 441.8404725857.

The spelling of 86257424 in words is "eighty-six million, two hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 257 514 1028 1907 2056 2827 3814 4112 5654 7628 11308 15256 20977 22616 30512 41954 45232 83908 167816 335632 490099 980198 1960396 3920792 5391089 7841584 10782178 21564356 43128712 86257424