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92342016 = 2832133083
BaseRepresentation
bin1011000000100…
…00011100000000
320102202110102200
411200100130000
5142114421031
613055113200
72200615464
oct540203400
9212673380
1092342016
1148140a18
1226b12800
1316191c60
14c39a4a4
1581908e6
hex5810700

92342016 has 108 divisors (see below), whose sum is σ = 286818168. Its totient is φ = 28403712.

The previous prime is 92341999. The next prime is 92342053. The reversal of 92342016 is 61024329.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28411 + ... + 31493.

Almost surely, 292342016 is an apocalyptic number.

92342016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143409084).

92342016 is an abundant number, since it is smaller than the sum of its proper divisors (194476152).

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

92342016 is a wasteful number, since it uses less digits than its factorization.

92342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 92342016 is about 9609.4753238665. The cubic root of 92342016 is about 451.9944656957.

The spelling of 92342016 in words is "ninety-two million, three hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3083 3328 3744 4992 6166 7488 9249 9984 12332 14976 18498 24664 27747 29952 36996 40079 49328 55494 73992 80158 98656 110988 120237 147984 160316 197312 221976 240474 295968 320632 360711 394624 443952 480948 591936 641264 721422 789248 887904 961896 1183872 1282528 1442844 1775808 1923792 2367744 2565056 2885688 3551616 3847584 5130112 5771376 7103232 7695168 10260224 11542752 15390336 23085504 30780672 46171008 92342016