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84084912 = 2433593299
BaseRepresentation
bin1010000001100…
…00100010110000
312212012221211000
411000300202300
5133011204122
612202122000
72040465342
oct500604260
9185187730
1084084912
114351126a
12241b0300
13145607b2
14b24b292
1575ae0ac
hex50308b0

84084912 has 80 divisors (see below), whose sum is σ = 245520000. Its totient is φ = 27544896.

The previous prime is 84084887. The next prime is 84084929. The reversal of 84084912 is 21948048.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23839 + ... + 27137.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 284084912 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 84084912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760000).

84084912 is an abundant number, since it is smaller than the sum of its proper divisors (161435088).

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

84084912 is a wasteful number, since it uses less digits than its factorization.

84084912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 84084912 is about 9169.7825492211. The cubic root of 84084912 is about 438.0994332331.

The spelling of 84084912 in words is "eighty-four million, eighty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 3299 4248 6372 6598 8496 9897 12744 13196 19794 25488 26392 29691 39588 52784 59382 79176 89073 118764 158352 178146 194641 237528 356292 389282 475056 583923 712584 778564 1167846 1425168 1557128 1751769 2335692 3114256 3503538 4671384 5255307 7007076 9342768 10510614 14014152 21021228 28028304 42042456 84084912