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83689956 = 22337313571
BaseRepresentation
bin1001111110100…
…00000111100100
312211110220001000
410333100013210
5132411034311
612145433300
72034232020
oct477200744
9184426030
1083689956
1143271559
122403b830
1314452aac
14b187380
157532056
hex4fd01e4

83689956 has 96 divisors (see below), whose sum is σ = 256040960. Its totient is φ = 23133600.

The previous prime is 83689877. The next prime is 83690017. The reversal of 83689956 is 65998638.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21651 + ... + 25221.

Almost surely, 283689956 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 83689956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128020480).

83689956 is an abundant number, since it is smaller than the sum of its proper divisors (172351004).

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

83689956 is a wasteful number, since it uses less digits than its factorization.

83689956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622 (or 3614 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 83689956 is about 9148.2214664928. The cubic root of 83689956 is about 437.4124228512.

The spelling of 83689956 in words is "eighty-three million, six hundred eighty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3571 3906 5859 7142 7812 10713 11718 14284 21426 23436 24997 32139 42852 49994 64278 74991 96417 99988 110701 128556 149982 192834 221402 224973 299964 332103 385668 442804 449946 664206 674919 774907 899892 996309 1328412 1349838 1549814 1992618 2324721 2699676 2988927 3099628 3985236 4649442 5977854 6974163 9298884 11955708 13948326 20922489 27896652 41844978 83689956