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83713344 = 26311133049
BaseRepresentation
bin1001111110101…
…01110101000000
312211112002010020
410333111311000
5132412311334
612150133440
72034360141
oct477256500
9184462106
1083713344
1143288090
1224051280
1314460630
14b191ac8
157538e49
hex4fd5d40

83713344 has 112 divisors (see below), whose sum is σ = 260299200. Its totient is φ = 23408640.

The previous prime is 83713339. The next prime is 83713367. The reversal of 83713344 is 44331738.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 25932 + ... + 28980.

It is an arithmetic number, because the mean of its divisors is an integer number (2324100).

Almost surely, 283713344 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 83713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130149600).

83713344 is an abundant number, since it is smaller than the sum of its proper divisors (176585856).

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

83713344 is a wasteful number, since it uses less digits than its factorization.

83713344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3078 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 83713344 is about 9149.4996584513. The cubic root of 83713344 is about 437.4531654899.

The spelling of 83713344 in words is "eighty-three million, seven hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3049 3432 4576 6098 6864 9147 9152 12196 13728 18294 24392 27456 33539 36588 39637 48784 67078 73176 79274 97568 100617 118911 134156 146352 158548 195136 201234 237822 268312 292704 317096 402468 436007 475644 536624 585408 634192 804936 872014 951288 1073248 1268384 1308021 1609872 1744028 1902576 2146496 2536768 2616042 3219744 3488056 3805152 5232084 6439488 6976112 7610304 10464168 13952224 20928336 27904448 41856672 83713344