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86414881 = 725971421
BaseRepresentation
bin1010010011010…
…01011000100001
320000121022221011
411021221120201
5134110234011
612324100521
72066341300
oct511513041
9200538834
1086414881
1144862863
1224b34741
1314b98187
14b696437
1578be621
hex5269621

86414881 has 24 divisors (see below), whose sum is σ = 103913280. Its totient is φ = 71618400.

The previous prime is 86414849. The next prime is 86414891. The reversal of 86414881 is 18841468.

It is a happy number.

It is not a de Polignac number, because 86414881 - 25 = 86414849 is a prime.

It is a super-2 number, since 2×864148812 = 14935063316488322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86414891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 205051 + ... + 205471.

It is an arithmetic number, because the mean of its divisors is an integer number (4329720).

Almost surely, 286414881 is an apocalyptic number.

It is an amenable number.

86414881 is a deficient number, since it is larger than the sum of its proper divisors (17498399).

86414881 is a wasteful number, since it uses less digits than its factorization.

86414881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 86414881 is about 9295.9604667834. The cubic root of 86414881 is about 442.1091589691.

The spelling of 86414881 in words is "eighty-six million, four hundred fourteen thousand, eight hundred eighty-one".

Divisors: 1 7 49 59 71 413 421 497 2891 2947 3479 4189 20629 24839 29323 29891 173873 205261 209237 1217111 1464659 1763569 12344983 86414881