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84402288 = 24325311059
BaseRepresentation
bin1010000011111…
…10000001110000
312212211002011200
411001332001300
5133101333123
612213011200
72043256545
oct501760160
9185732150
1084402288
1143708763
1224323b00
13146420a9
14b2d0bcc
157623143
hex507e070

84402288 has 60 divisors (see below), whose sum is σ = 240687720. Its totient is φ = 27600768.

The previous prime is 84402281. The next prime is 84402317. The reversal of 84402288 is 88220448.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84402281) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2103 + ... + 13161.

It is an arithmetic number, because the mean of its divisors is an integer number (4011462).

Almost surely, 284402288 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 84402288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120343860).

84402288 is an abundant number, since it is smaller than the sum of its proper divisors (156285432).

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

84402288 is a wasteful number, since it uses less digits than its factorization.

84402288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84402288 is about 9187.0717859392. The cubic root of 84402288 is about 438.6499389517.

The spelling of 84402288 in words is "eighty-four million, four hundred two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 11059 22118 33177 44236 66354 88472 99531 132708 176944 199062 265416 398124 530832 586127 796248 1172254 1592496 1758381 2344508 3516762 4689016 5275143 7033524 9378032 10550286 14067048 21100572 28134096 42201144 84402288