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9268992 = 2835149
BaseRepresentation
bin100011010110…
…111100000000
3122102220200000
4203112330000
54333101432
6530400000
7141533205
oct43267400
918386600
109268992
115260a27
123130000
131bc6c15
141333cac
15c3157c
hex8d6f00

9268992 has 108 divisors (see below), whose sum is σ = 27900600. Its totient is φ = 3068928.

The previous prime is 9268957. The next prime is 9268997. The reversal of 9268992 is 2998629.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9268997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62134 + ... + 62282.

Almost surely, 29268992 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 9268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950300).

9268992 is an abundant number, since it is smaller than the sum of its proper divisors (18631608).

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

9268992 is an equidigital number, since it uses as much as digits as its factorization.

9268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9268992 is about 3044.5019297087. The cubic root of 9268992 is about 210.0603907947.

The spelling of 9268992 in words is "nine million, two hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 149 162 192 216 243 256 288 298 324 384 432 447 486 576 596 648 768 864 894 972 1152 1192 1296 1341 1728 1788 1944 2304 2384 2592 2682 3456 3576 3888 4023 4768 5184 5364 6912 7152 7776 8046 9536 10368 10728 12069 14304 15552 16092 19072 20736 21456 24138 28608 31104 32184 36207 38144 42912 48276 57216 62208 64368 72414 85824 96552 114432 128736 144828 171648 193104 257472 289656 343296 386208 514944 579312 772416 1029888 1158624 1544832 2317248 3089664 4634496 9268992