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84085608 = 23323237179
BaseRepresentation
bin1010000001100…
…00101101101000
312212012222202210
411000300231220
5133011214413
612202125120
72040500355
oct500605550
9185188683
1084085608
1143511842
12241b07a0
1314560bc9
14b24b62c
1575ae3c3
hex5030b68

84085608 has 96 divisors (see below), whose sum is σ = 226951200. Its totient is φ = 25939584.

The previous prime is 84085607. The next prime is 84085619. The reversal of 84085608 is 80658048.

It is not an unprimeable number, because it can be changed into a prime (84085601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469663 + ... + 469841.

It is an arithmetic number, because the mean of its divisors is an integer number (2364075).

Almost surely, 284085608 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 84085608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113475600).

84085608 is an abundant number, since it is smaller than the sum of its proper divisors (142865592).

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

84085608 is a wasteful number, since it uses less digits than its factorization.

84085608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 84085608 is about 9169.8204998789. The cubic root of 84085608 is about 438.1006419968.

The spelling of 84085608 in words is "eighty-four million, eighty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 179 184 222 276 296 358 444 529 537 552 716 851 888 1058 1074 1432 1587 1702 2116 2148 2553 3174 3404 4117 4232 4296 5106 6348 6623 6808 8234 10212 12351 12696 13246 16468 19573 19869 20424 24702 26492 32936 39146 39738 49404 52984 58719 78292 79476 94691 98808 117438 152329 156584 158952 189382 234876 284073 304658 378764 456987 469752 568146 609316 757528 913974 1136292 1218632 1827948 2272584 3503567 3655896 7007134 10510701 14014268 21021402 28028536 42042804 84085608