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86377806 = 2334013989
BaseRepresentation
bin1010010011000…
…00010101001110
320000112110002000
411021200111032
5134103042211
612323213130
72066125224
oct511402516
9200473060
1086377806
1144837a19
1224b171a6
1314b84338
14b686b14
1578b3656
hex526054e

86377806 has 32 divisors (see below), whose sum is σ = 192477600. Its totient is φ = 28713600.

The previous prime is 86377801. The next prime is 86377817. The reversal of 86377806 is 60877368.

86377806 is a `hidden beast` number, since 8 + 637 + 7 + 8 + 0 + 6 = 666.

It is a super-2 number, since 2×863778062 = 14922250738747272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86377801) 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 15 ways as a sum of consecutive naturals, for example, 19660 + ... + 23648.

It is an arithmetic number, because the mean of its divisors is an integer number (6014925).

Almost surely, 286377806 is an apocalyptic number.

86377806 is an abundant number, since it is smaller than the sum of its proper divisors (106099794).

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

86377806 is a wasteful number, since it uses less digits than its factorization.

86377806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 86377806 is about 9293.9661071041. The cubic root of 86377806 is about 442.0459231715.

The spelling of 86377806 in words is "eighty-six million, three hundred seventy-seven thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 54 401 802 1203 2406 3609 3989 7218 7978 10827 11967 21654 23934 35901 71802 107703 215406 1599589 3199178 4798767 9597534 14396301 28792602 43188903 86377806