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86113632 = 2531181547
BaseRepresentation
bin1010010000111…
…11110101100000
320000001000200210
411020133311200
5134021114012
612313414120
72063645103
oct510376540
9200030623
1086113632
11446774a0
1224a0a340
1314ac1017
14b61873a
15786023c
hex521fd60

86113632 has 48 divisors (see below), whose sum is σ = 246601152. Its totient is φ = 26094720.

The previous prime is 86113631. The next prime is 86113661. The reversal of 86113632 is 23631168.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86113632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86113631) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39718 + ... + 41829.

It is an arithmetic number, because the mean of its divisors is an integer number (5137524).

Almost surely, 286113632 is an apocalyptic number.

It is an amenable number.

86113632 is an abundant number, since it is smaller than the sum of its proper divisors (160487520).

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

86113632 is a wasteful number, since it uses less digits than its factorization.

86113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81571 (or 81563 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 86113632 is about 9279.7430998924. The cubic root of 86113632 is about 441.5948185172.

It can be divided in two parts, 861136 and 32, that added together give a palindrome (861168).

The spelling of 86113632 in words is "eighty-six million, one hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 81547 163094 244641 326188 489282 652376 897017 978564 1304752 1794034 1957128 2609504 2691051 3588068 3914256 5382102 7176136 7828512 10764204 14352272 21528408 28704544 43056816 86113632