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86054436 = 223213183877
BaseRepresentation
bin1010010000100…
…01011000100100
312222221000111100
411020101120210
5134012220221
612312240100
72063310366
oct510213044
9188830440
1086054436
1144636a76
12249a0030
1314aa00b0
14b600d36
15784c926
hex5211624

86054436 has 36 divisors (see below), whose sum is σ = 234260572. Its totient is φ = 26478144.

The previous prime is 86054413. The next prime is 86054443. The reversal of 86054436 is 63445068.

86054436 is a `hidden beast` number, since 8 + 605 + 4 + 43 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50126400 + 35928036 = 7080^2 + 5994^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 86054436.

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, 91471 + ... + 92406.

Almost surely, 286054436 is an apocalyptic number.

It is an amenable number.

86054436 is an abundant number, since it is smaller than the sum of its proper divisors (148206136).

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

86054436 is a wasteful number, since it uses less digits than its factorization.

86054436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183900 (or 183895 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 86054436 is about 9276.5530236182. The cubic root of 86054436 is about 441.4936086840.

It can be divided in two parts, 8605 and 4436, that added together give a triangular number (13041 = T161).

The spelling of 86054436 in words is "eighty-six million, fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 183877 367754 551631 735508 1103262 1654893 2206524 2390401 3309786 4780802 6619572 7171203 9561604 14342406 21513609 28684812 43027218 86054436