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92009016 = 233211235051
BaseRepresentation
bin1010111101111…
…11001000111000
320102010112122100
411132333020320
5142023242031
613044023400
72165030601
oct536771070
9212115570
1092009016
1147a33810
1226991b60
13160a6508
14c310da8
158126de6
hex57bf238

92009016 has 96 divisors (see below), whose sum is σ = 283720320. Its totient is φ = 26664000.

The previous prime is 92009011. The next prime is 92009017. The reversal of 92009016 is 61090029.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92009011) 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, 15691 + ... + 20741.

It is an arithmetic number, because the mean of its divisors is an integer number (2955420).

Almost surely, 292009016 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 92009016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141860160).

92009016 is an abundant number, since it is smaller than the sum of its proper divisors (191711304).

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

92009016 is a wasteful number, since it uses less digits than its factorization.

92009016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 92009016 is about 9592.1330266005. The cubic root of 92009016 is about 451.4504899667.

The spelling of 92009016 in words is "ninety-two million, nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 5051 6072 9108 10102 15153 18216 20204 30306 40408 45459 55561 60612 90918 111122 116173 121224 166683 181836 222244 232346 333366 348519 363672 444488 464692 500049 666732 697038 929384 1000098 1045557 1277903 1333464 1394076 2000196 2091114 2555806 2788152 3833709 4000392 4182228 5111612 7667418 8364456 10223224 11501127 15334836 23002254 30669672 46004508 92009016