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86392404 = 223271312617
BaseRepresentation
bin1010010011000…
…11111001010100
320000120012002200
411021203321110
5134104024104
612323404500
72066215620
oct511437124
9200505080
1086392404
114484798a
1224b23730
1314b8ab87
14b68c180
1578b7b39
hex5263e54

86392404 has 72 divisors (see below), whose sum is σ = 251579328. Its totient is φ = 24485760.

The previous prime is 86392399. The next prime is 86392417. The reversal of 86392404 is 40429368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 31704 + ... + 34320.

Almost surely, 286392404 is an apocalyptic number.

86392404 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86392404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125789664).

86392404 is an abundant number, since it is smaller than the sum of its proper divisors (165186924).

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

86392404 is a wasteful number, since it uses less digits than its factorization.

86392404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86392404 is about 9294.7514221737. The cubic root of 86392404 is about 442.0708239464.

The spelling of 86392404 in words is "eighty-six million, three hundred ninety-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 786 917 1179 1572 1834 2358 2617 2751 3668 4716 5234 5502 7851 8253 10468 11004 15702 16506 18319 23553 31404 33012 36638 47106 54957 73276 94212 109914 164871 219828 329742 342827 659484 685654 1028481 1371308 2056962 2399789 3085443 4113924 4799578 6170886 7199367 9599156 12341772 14398734 21598101 28797468 43196202 86392404