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83986868 = 22717297107
BaseRepresentation
bin1010000000110…
…00100110110100
312212000222022202
411000120212310
5133000034433
612200044032
72036606450
oct500304664
9185028282
1083986868
1143454639
1224163618
1314527c94
14b223660
15758eee8
hex50189b4

83986868 has 72 divisors (see below), whose sum is σ = 181960128. Its totient is φ = 33214464.

The previous prime is 83986867. The next prime is 83986909. The reversal of 83986868 is 86868938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83986867) 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, 784871 + ... + 784977.

It is an arithmetic number, because the mean of its divisors is an integer number (2527224).

Almost surely, 283986868 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 83986868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90980064).

83986868 is an abundant number, since it is smaller than the sum of its proper divisors (97973260).

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

83986868 is a wasteful number, since it uses less digits than its factorization.

83986868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 56.

The square root of 83986868 is about 9164.4349525762. The cubic root of 83986868 is about 437.9290906385.

The spelling of 83986868 in words is "eighty-three million, nine hundred eighty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 97 107 119 194 214 238 289 388 428 476 578 679 749 1156 1358 1498 1649 1819 2023 2716 2996 3298 3638 4046 6596 7276 8092 10379 11543 12733 20758 23086 25466 28033 30923 41516 46172 50932 56066 61846 72653 112132 123692 145306 176443 196231 216461 290612 352886 392462 432922 705772 784924 865844 1235101 2470202 2999531 4940404 5999062 11998124 20996717 41993434 83986868