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92096676 = 2234725801
BaseRepresentation
bin1010111110101…
…00100010100100
320102021222220000
411133110202210
5142034043201
613045541300
72165544300
oct537244244
9212258800
1092096676
1147a93661
1226a14830
1316107399
14c334d00
158142d86
hex57d48a4

92096676 has 90 divisors (see below), whose sum is σ = 280114758. Its totient is φ = 26308800.

The previous prime is 92096657. The next prime is 92096687. The reversal of 92096676 is 67669029.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 396900 = 9576^2 + 630^2 .

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 29 ways as a sum of consecutive naturals, for example, 12976 + ... + 18776.

Almost surely, 292096676 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 92096676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140057379).

92096676 is an abundant number, since it is smaller than the sum of its proper divisors (188018082).

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

92096676 is a wasteful number, since it uses less digits than its factorization.

92096676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 92096676 is about 9596.7013082621. The cubic root of 92096676 is about 451.5938150104.

The spelling of 92096676 in words is "ninety-two million, ninety-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 5801 7938 11602 15876 17403 23204 34806 40607 52209 69612 81214 104418 121821 156627 162428 208836 243642 284249 313254 365463 469881 487284 568498 626508 730926 852747 939762 1096389 1136996 1461852 1705494 1879524 2192778 2558241 3289167 3410988 4385556 5116482 6578334 7674723 10232964 13156668 15349446 23024169 30698892 46048338 92096676