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928096 = 25132397
BaseRepresentation
bin11100010100101100000
31202011002221
43202211200
5214144341
631520424
710613551
oct3424540
91664087
10928096
11584324
12389114
13266590
141a2328
15134ed1
hexe2960

928096 has 48 divisors (see below), whose sum is σ = 2074464. Its totient is φ = 405504.

The previous prime is 928079. The next prime is 928097. The reversal of 928096 is 690829.

It is a super-2 number, since 2×9280962 = 1722724370432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9520 + ... + 9616.

It is an arithmetic number, because the mean of its divisors is an integer number (43218).

2928096 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 928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037232).

928096 is an abundant number, since it is smaller than the sum of its proper divisors (1146368).

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

928096 is a wasteful number, since it uses less digits than its factorization.

928096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 928096 is about 963.3773923027. The cubic root of 928096 is about 97.5433425531.

The spelling of 928096 in words is "nine hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 97 104 184 194 208 299 368 388 416 598 736 776 1196 1261 1552 2231 2392 2522 3104 4462 4784 5044 8924 9568 10088 17848 20176 29003 35696 40352 58006 71392 116012 232024 464048 928096