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9242112 = 29311547
BaseRepresentation
bin100011010000…
…011000000000
3122101112210110
4203100120000
54331221422
6530031320
7141361635
oct43203000
918345713
109242112
115242810
123118540
131bb7909
14132818c
15c2860c
hex8d0600

9242112 has 80 divisors (see below), whose sum is σ = 26908992. Its totient is φ = 2795520.

The previous prime is 9242111. The next prime is 9242117. The reversal of 9242112 is 2112429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9242111) 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, 16623 + ... + 17169.

Almost surely, 29242112 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 9242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454496).

9242112 is an abundant number, since it is smaller than the sum of its proper divisors (17666880).

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

9242112 is a wasteful number, since it uses less digits than its factorization.

9242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 563 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 9242112 is about 3040.0842093600. The cubic root of 9242112 is about 209.8571363916.

The spelling of 9242112 in words is "nine million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 547 704 768 1056 1094 1408 1536 1641 2112 2188 2816 3282 4224 4376 5632 6017 6564 8448 8752 12034 13128 16896 17504 18051 24068 26256 35008 36102 48136 52512 70016 72204 96272 105024 140032 144408 192544 210048 280064 288816 385088 420096 577632 770176 840192 1155264 1540352 2310528 3080704 4621056 9242112