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83939352 = 23372137521
BaseRepresentation
bin1010000000011…
…01000000011000
312211221120010220
411000031000120
5132442024402
612155040040
72036321100
oct500150030
9184846126
1083939352
1143421972
1224140020
131450c473
14b210200
157580dbc
hex500d018

83939352 has 96 divisors (see below), whose sum is σ = 246363120. Its totient is φ = 23761920.

The previous prime is 83939329. The next prime is 83939363. The reversal of 83939352 is 25393938.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160852 + ... + 161372.

Almost surely, 283939352 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 83939352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123181560).

83939352 is an abundant number, since it is smaller than the sum of its proper divisors (162423768).

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

83939352 is a wasteful number, since it uses less digits than its factorization.

83939352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 83939352 is about 9161.8421728384. The cubic root of 83939352 is about 437.8464881849.

The spelling of 83939352 in words is "eighty-three million, nine hundred thirty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 137 147 168 196 274 294 392 411 521 548 588 822 959 1042 1096 1176 1563 1644 1918 2084 2877 3126 3288 3647 3836 4168 5754 6252 6713 7294 7672 10941 11508 12504 13426 14588 20139 21882 23016 25529 26852 29176 40278 43764 51058 53704 71377 76587 80556 87528 102116 142754 153174 161112 204232 214131 285508 306348 428262 499639 571016 612696 856524 999278 1498917 1713048 1998556 2997834 3497473 3997112 5995668 6994946 10492419 11991336 13989892 20984838 27979784 41969676 83939352