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83923164 = 2232131031741
BaseRepresentation
bin1010000000010…
…01000011011100
312211220201221100
411000021003130
5132441020124
612154433100
72036222643
oct500110334
9184821840
1083923164
1143410796
1224132790
1314504ca0
14b20835a
15757b1c9
hex50090dc

83923164 has 72 divisors (see below), whose sum is σ = 230808032. Its totient is φ = 25557120.

The previous prime is 83923157. The next prime is 83923183. The reversal of 83923164 is 46132938.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47334 + ... + 49074.

Almost surely, 283923164 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 83923164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115404016).

83923164 is an abundant number, since it is smaller than the sum of its proper divisors (146884868).

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

83923164 is a wasteful number, since it uses less digits than its factorization.

83923164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1862 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 83923164 is about 9160.9586834567. The cubic root of 83923164 is about 437.8183396290.

The spelling of 83923164 in words is "eighty-three million, nine hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 103 117 156 206 234 309 412 468 618 927 1236 1339 1741 1854 2678 3482 3708 4017 5223 5356 6964 8034 10446 12051 15669 16068 20892 22633 24102 31338 45266 48204 62676 67899 90532 135798 179323 203697 271596 358646 407394 537969 717292 814788 1075938 1613907 2151876 2331199 3227814 4662398 6455628 6993597 9324796 13987194 20980791 27974388 41961582 83923164