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84408896 = 26111323401
BaseRepresentation
bin1010000011111…
…11101001000000
312212211102020102
411001333221000
5133102041041
612213101532
72043315035
oct501775100
9185742212
1084408896
1143712720
12243278a8
13146450c0
14b2d338c
15762509b
hex507fa40

84408896 has 112 divisors (see below), whose sum is σ = 205849728. Its totient is φ = 33792000.

The previous prime is 84408869. The next prime is 84408911. The reversal of 84408896 is 69880448.

It is a self number, because there is not a number n which added to its sum of digits gives 84408896.

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, 210296 + ... + 210696.

It is an arithmetic number, because the mean of its divisors is an integer number (1837944).

Almost surely, 284408896 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 84408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102924864).

84408896 is an abundant number, since it is smaller than the sum of its proper divisors (121440832).

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

84408896 is a wasteful number, since it uses less digits than its factorization.

84408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 84408896 is about 9187.4314147100. The cubic root of 84408896 is about 438.6613862051.

The spelling of 84408896 in words is "eighty-four million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 64 88 92 104 143 176 184 208 253 286 299 352 368 401 416 506 572 598 704 736 802 832 1012 1144 1196 1472 1604 2024 2288 2392 3208 3289 4048 4411 4576 4784 5213 6416 6578 8096 8822 9152 9223 9568 10426 12832 13156 16192 17644 18446 19136 20852 25664 26312 35288 36892 41704 52624 57343 70576 73784 83408 101453 105248 114686 119899 141152 147568 166816 202906 210496 229372 239798 282304 295136 333632 405812 458744 479596 590272 811624 917488 959192 1318889 1623248 1834976 1918384 2637778 3246496 3669952 3836768 5275556 6492992 7673536 10551112 21102224 42204448 84408896