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86414864 = 2423432127
BaseRepresentation
bin1010010011010…
…01011000010000
320000121022220112
411021221120100
5134110233424
612324100452
72066341244
oct511513020
9200538815
1086414864
1144862848
1224b34728
1314b98173
14b696424
1578be60e
hex5269610

86414864 has 60 divisors (see below), whose sum is σ = 180274176. Its totient is φ = 40049856.

The previous prime is 86414849. The next prime is 86414891. The reversal of 86414864 is 46841468.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680369 + ... + 680495.

Almost surely, 286414864 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 86414864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90137088).

86414864 is an abundant number, since it is smaller than the sum of its proper divisors (93859312).

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

86414864 is a wasteful number, since it uses less digits than its factorization.

86414864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 195 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 86414864 is about 9295.9595524077. The cubic root of 86414864 is about 442.1091299777.

It can be divided in two parts, 86414 and 864, that added together give a palindrome (87278).

The spelling of 86414864 in words is "eighty-six million, four hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 43 46 86 92 127 172 184 254 344 368 508 688 989 1016 1849 1978 2032 2921 3698 3956 5461 5842 7396 7912 10922 11684 14792 15824 21844 23368 29584 42527 43688 46736 85054 87376 125603 170108 234823 251206 340216 469646 502412 680432 939292 1004824 1878584 2009648 3757168 5400929 10801858 21603716 43207432 86414864