Search a number
-
+
92708 = 22721143
BaseRepresentation
bin10110101000100100
311201011122
4112220210
510431313
61553112
7534200
oct265044
9151148
1092708
1163720
1245798
1333275
1425b00
151c708
hex16a24

92708 has 36 divisors (see below), whose sum is σ = 210672. Its totient is φ = 35280.

The previous prime is 92707. The next prime is 92717. The reversal of 92708 is 80729.

It is not an unprimeable number, because it can be changed into a prime (92707) by changing a digit.

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, 2135 + ... + 2177.

It is an arithmetic number, because the mean of its divisors is an integer number (5852).

292708 is an apocalyptic number.

92708 is a gapful number since it is divisible by the number (98) 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 92708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336).

92708 is an abundant number, since it is smaller than the sum of its proper divisors (117964).

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

92708 is a wasteful number, since it uses less digits than its factorization.

92708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 92708 is about 304.4798843930. The cubic root of 92708 is about 45.2590816403.

The spelling of 92708 in words is "ninety-two thousand, seven hundred eight".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 154 172 196 301 308 473 539 602 946 1078 1204 1892 2107 2156 3311 4214 6622 8428 13244 23177 46354 92708