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92016216 = 2333439907
BaseRepresentation
bin1010111110000…
…00111001011000
320102010220112000
411133000321120
5142024004331
613044121000
72165060565
oct537007130
9212126460
1092016216
1147a39166
1226996160
13160a9886
14c31386c
1581290e6
hex57c0e58

92016216 has 64 divisors (see below), whose sum is σ = 261571200. Its totient is φ = 29955744.

The previous prime is 92016209. The next prime is 92016227. The reversal of 92016216 is 61261029.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 92016216.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4335 + ... + 14241.

It is an arithmetic number, because the mean of its divisors is an integer number (4087050).

Almost surely, 292016216 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 92016216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130785600).

92016216 is an abundant number, since it is smaller than the sum of its proper divisors (169554984).

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

92016216 is a wasteful number, since it uses less digits than its factorization.

92016216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9955 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 92016216 is about 9592.5083268142. The cubic root of 92016216 is about 451.4622654748.

The spelling of 92016216 in words is "ninety-two million, sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 9907 19814 29721 39628 59442 79256 89163 118884 178326 237768 267489 356652 426001 534978 713304 852002 1069956 1278003 1704004 2139912 2556006 3408008 3834009 5112012 7668018 10224024 11502027 15336036 23004054 30672072 46008108 92016216