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83891052 = 2234747787
BaseRepresentation
bin1010000000000…
…01001101101100
312211212002220000
411000001031230
5132434003202
612154024300
72036030220
oct500011554
9184762800
1083891052
1143399653
1224118090
13144c349b
14b1da780
15757191c
hex500136c

83891052 has 120 divisors (see below), whose sum is σ = 256295424. Its totient is φ = 23429088.

The previous prime is 83891021. The next prime is 83891063. The reversal of 83891052 is 25019838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83890998 and 83891016.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106203 + ... + 106989.

Almost surely, 283891052 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 83891052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128147712).

83891052 is an abundant number, since it is smaller than the sum of its proper divisors (172404372).

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

83891052 is a wasteful number, since it uses less digits than its factorization.

83891052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 83891052 is about 9159.2058607720. The cubic root of 83891052 is about 437.7624908604.

The spelling of 83891052 in words is "eighty-three million, eight hundred ninety-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 81 84 94 108 126 141 162 188 189 252 282 324 329 378 423 564 567 658 756 787 846 987 1134 1269 1316 1574 1692 1974 2268 2361 2538 2961 3148 3807 3948 4722 5076 5509 5922 7083 7614 8883 9444 11018 11844 14166 15228 16527 17766 21249 22036 26649 28332 33054 35532 36989 42498 49581 53298 63747 66108 73978 84996 99162 106596 110967 127494 147956 148743 198324 221934 254988 258923 297486 332901 443868 446229 517846 594972 665802 776769 892458 998703 1035692 1331604 1553538 1784916 1997406 2330307 2996109 3107076 3994812 4660614 5992218 6990921 9321228 11984436 13981842 20972763 27963684 41945526 83891052