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84504384 = 263416301
BaseRepresentation
bin1010000100101…
…10111101000000
312220000021020000
411002112331000
5133113120014
612215120000
72044163316
oct502267500
9186007200
1084504384
1143778438
1224373000
13146796c3
14b31a0b6
157643509
hex5096f40

84504384 has 70 divisors (see below), whose sum is σ = 250512834. Its totient is φ = 28166400.

The previous prime is 84504361. The next prime is 84504397. The reversal of 84504384 is 48340548.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 3504384 = 9000^2 + 1872^2 .

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 (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2967 + ... + 13334.

Almost surely, 284504384 is an apocalyptic number.

It is an amenable number.

84504384 is an abundant number, since it is smaller than the sum of its proper divisors (166008450).

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

84504384 is a wasteful number, since it uses less digits than its factorization.

84504384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16325 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 84504384 is about 9192.6266104960. The cubic root of 84504384 is about 438.8267365234.

The spelling of 84504384 in words is "eighty-four million, five hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 16301 32602 48903 65204 97806 130408 146709 195612 260816 293418 391224 440127 521632 586836 782448 880254 1043264 1173672 1320381 1564896 1760508 2347344 2640762 3129792 3521016 4694688 5281524 7042032 9389376 10563048 14084064 21126096 28168128 42252192 84504384