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82704204 = 2232114572
BaseRepresentation
bin1001110110111…
…11011101001100
312202121210211200
410323133131030
5132133013304
612112345500
72022655062
oct473373514
9182553750
1082704204
1142758990
1223845290
13141991cb
14adac032
1573d9e39
hex4edf74c

82704204 has 54 divisors (see below), whose sum is σ = 228563244. Its totient is φ = 25007040.

The previous prime is 82704173. The next prime is 82704239. The reversal of 82704204 is 40240728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180744 + ... + 181200.

Almost surely, 282704204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82704204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114281622).

82704204 is an abundant number, since it is smaller than the sum of its proper divisors (145859040).

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

82704204 is a wasteful number, since it uses less digits than its factorization.

82704204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82704204 is about 9094.1851751545. The cubic root of 82704204 is about 435.6882643858.

The spelling of 82704204 in words is "eighty-two million, seven hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 457 914 1371 1828 2742 4113 5027 5484 8226 10054 15081 16452 20108 30162 45243 60324 90486 180972 208849 417698 626547 835396 1253094 1879641 2297339 2506188 3759282 4594678 6892017 7518564 9189356 13784034 20676051 27568068 41352102 82704204