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84956382 = 23271315147
BaseRepresentation
bin1010001000001…
…01010011011110
312220212020020200
411010011103132
5133222101012
612232524330
72051055150
oct504052336
9186766220
1084956382
1143a56a95
12245506a6
13147a7364
14b3d6ad0
1576d23dc
hex51054de

84956382 has 48 divisors (see below), whose sum is σ = 212015232. Its totient is φ = 24083280.

The previous prime is 84956371. The next prime is 84956413. The reversal of 84956382 is 28365948.

84956382 is a `hidden beast` number, since 8 + 4 + 9 + 5 + 638 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13933 + ... + 19079.

It is an arithmetic number, because the mean of its divisors is an integer number (4416984).

Almost surely, 284956382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84956382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106007616).

84956382 is an abundant number, since it is smaller than the sum of its proper divisors (127058850).

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

84956382 is a wasteful number, since it uses less digits than its factorization.

84956382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293 (or 5290 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 84956382 is about 9217.1786355696. The cubic root of 84956382 is about 439.6077461451.

The spelling of 84956382 in words is "eighty-four million, nine hundred fifty-six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2358 2751 5147 5502 8253 10294 15441 16506 30882 36029 46323 72058 92646 108087 216174 324261 648522 674257 1348514 2022771 4045542 4719799 6068313 9439598 12136626 14159397 28318794 42478191 84956382