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82386132 = 22383181457
BaseRepresentation
bin1001110100100…
…01110011010100
312202000122112020
410322101303110
5132042324012
612101453140
72020161543
oct472216324
9182018466
1082386132
1142560a14
12237111b0
13140b74ba
14ad2815a
157375a8c
hex4e91cd4

82386132 has 48 divisors (see below), whose sum is σ = 196053312. Its totient is φ = 26922240.

The previous prime is 82386119. The next prime is 82386149. The reversal of 82386132 is 23168328.

It is a junction number, because it is equal to n+sod(n) for n = 82386093 and 82386102.

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 15 ways as a sum of consecutive naturals, for example, 180048 + ... + 180504.

It is an arithmetic number, because the mean of its divisors is an integer number (4084444).

Almost surely, 282386132 is an apocalyptic number.

It is an amenable number.

82386132 is an abundant number, since it is smaller than the sum of its proper divisors (113667180).

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

82386132 is a wasteful number, since it uses less digits than its factorization.

82386132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 82386132 is about 9076.6806708179. The cubic root of 82386132 is about 435.1290091659.

The spelling of 82386132 in words is "eighty-two million, three hundred eighty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 83 166 181 249 332 362 457 498 543 724 914 996 1086 1371 1828 2172 2742 5484 15023 30046 37931 45069 60092 75862 82717 90138 113793 151724 165434 180276 227586 248151 330868 455172 496302 992604 6865511 13731022 20596533 27462044 41193066 82386132