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82966156 = 22713289197
BaseRepresentation
bin1001111000111…
…11011010001100
312210010010011121
410330133122030
5132214404111
612122130324
72025125560
oct474373214
9183103147
1082966156
1142917779
12239509a4
131425b500
14b0396a0
15743c871
hex4f1f68c

82966156 has 72 divisors (see below), whose sum is σ = 182619360. Its totient is φ = 32288256.

The previous prime is 82966151. The next prime is 82966157. The reversal of 82966156 is 65166928.

It is not an unprimeable number, because it can be changed into a prime (82966151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421050 + ... + 421246.

It is an arithmetic number, because the mean of its divisors is an integer number (2536380).

Almost surely, 282966156 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 82966156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91309680).

82966156 is an abundant number, since it is smaller than the sum of its proper divisors (99653204).

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

82966156 is a wasteful number, since it uses less digits than its factorization.

82966156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 82966156 is about 9108.5759589521. The cubic root of 82966156 is about 436.1477699607.

The spelling of 82966156 in words is "eighty-two million, nine hundred sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 89 91 169 178 182 197 338 356 364 394 623 676 788 1157 1183 1246 1379 2314 2366 2492 2561 2758 4628 4732 5122 5516 8099 10244 15041 16198 17533 17927 30082 32396 33293 35066 35854 60164 66586 70132 71708 105287 122731 133172 210574 227929 233051 245462 421148 455858 466102 490924 911716 932204 1595503 2963077 3191006 5926154 6382012 11852308 20741539 41483078 82966156