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83868096 = 2631333601
BaseRepresentation
bin1001111111110…
…11100111000000
312211210221101210
410333323213000
5132432234341
612153330120
72035603254
oct477734700
9184727353
1083868096
1143383384
1224106940
13144b5bc0
14b1d2264
157569c16
hex4ffb9c0

83868096 has 56 divisors (see below), whose sum is σ = 238977424. Its totient is φ = 25804800.

The previous prime is 83868091. The next prime is 83868119. The reversal of 83868096 is 69086838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83868091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14305 + ... + 19296.

It is an arithmetic number, because the mean of its divisors is an integer number (4267454).

Almost surely, 283868096 is an apocalyptic number.

It is an amenable number.

83868096 is an abundant number, since it is smaller than the sum of its proper divisors (155109328).

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

83868096 is a wasteful number, since it uses less digits than its factorization.

83868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33629 (or 33619 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 83868096 is about 9157.9526096175. The cubic root of 83868096 is about 437.7225573504.

The spelling of 83868096 in words is "eighty-three million, eight hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 33601 67202 100803 134404 201606 268808 403212 436813 537616 806424 873626 1075232 1310439 1612848 1747252 2150464 2620878 3225696 3494504 5241756 6451392 6989008 10483512 13978016 20967024 27956032 41934048 83868096