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83500396 = 227172329263
BaseRepresentation
bin1001111101000…
…01110101101100
312211010021000021
410332201311230
5132334003041
612141411524
72032512250
oct476416554
9184107007
1083500396
11431520a1
1223b69ba4
13143b7725
14b138260
1574e5cd1
hex4fa1d6c

83500396 has 96 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 30987264.

The previous prime is 83500381. The next prime is 83500441. The reversal of 83500396 is 69300538.

It is a super-2 number, since 2×835003962 = 13944632264313632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317361 + ... + 317623.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 283500396 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 83500396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

83500396 is an abundant number, since it is smaller than the sum of its proper divisors (108100244).

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

83500396 is a wasteful number, since it uses less digits than its factorization.

83500396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 83500396 is about 9137.8551093788. The cubic root of 83500396 is about 437.0819228965.

The spelling of 83500396 in words is "eighty-three million, five hundred thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 17 23 28 29 34 46 58 68 92 116 119 161 203 238 263 322 391 406 476 493 526 644 667 782 812 986 1052 1334 1564 1841 1972 2668 2737 3451 3682 4471 4669 5474 6049 6902 7364 7627 8942 9338 10948 11339 12098 13804 15254 17884 18676 22678 24196 30508 31297 42343 45356 53389 62594 79373 84686 102833 106778 125188 129659 158746 169372 175421 205666 213556 259318 317492 350842 411332 518636 701684 719831 907613 1227947 1439662 1815226 2455894 2879324 2982157 3630452 4911788 5964314 11928628 20875099 41750198 83500396