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83874056 = 23717194637
BaseRepresentation
bin1001111111111…
…01000100001000
312211211020120112
410333331010020
5132432432211
612153413452
72035626530
oct477750410
9184736515
1083874056
1143387902
122410a288
13144b8826
14b1d44c0
15756b88b
hex4ffd108

83874056 has 64 divisors (see below), whose sum is σ = 200361600. Its totient is φ = 32044032.

The previous prime is 83874053. The next prime is 83874067. The reversal of 83874056 is 65047838.

It is a happy number.

It is a super-2 number, since 2×838740562 = 14069714539782272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83874053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15770 + ... + 20406.

It is an arithmetic number, because the mean of its divisors is an integer number (3130650).

Almost surely, 283874056 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 83874056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100180800).

83874056 is an abundant number, since it is smaller than the sum of its proper divisors (116487544).

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

83874056 is a wasteful number, since it uses less digits than its factorization.

83874056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 83874056 is about 9158.2780040792. The cubic root of 83874056 is about 437.7329258726.

The spelling of 83874056 in words is "eighty-three million, eight hundred seventy-four thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2584 4522 4637 9044 9274 18088 18548 32459 37096 64918 78829 88103 129836 157658 176206 259672 315316 352412 551803 616721 630632 704824 1103606 1233442 1497751 2207212 2466884 2995502 4414424 4933768 5991004 10484257 11982008 20968514 41937028 83874056