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83935290 = 23517315309
BaseRepresentation
bin1010000000011…
…00000000111010
312211221100120110
411000030000322
5132441412130
612155005150
72036303205
oct500140072
9184840513
1083935290
114341990a
12241397b6
131450a66a
14b20c93c
15757eab0
hex500c03a

83935290 has 64 divisors (see below), whose sum is σ = 220216320. Its totient is φ = 20382720.

The previous prime is 83935283. The next prime is 83935333. The reversal of 83935290 is 9253938.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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, 13156 + ... + 18464.

It is an arithmetic number, because the mean of its divisors is an integer number (3440880).

Almost surely, 283935290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83935290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110108160).

83935290 is an abundant number, since it is smaller than the sum of its proper divisors (136281030).

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

83935290 is a wasteful number, since it uses less digits than its factorization.

83935290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 83935290 is about 9161.6204898479. The cubic root of 83935290 is about 437.8394253033.

The spelling of 83935290 in words is "eighty-three million, nine hundred thirty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 5309 7905 10618 15810 15927 26545 31854 53090 79635 90253 159270 164579 180506 270759 329158 451265 493737 541518 822895 902530 987474 1353795 1645790 2468685 2707590 2797843 4937370 5595686 8393529 13989215 16787058 27978430 41967645 83935290