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90909112 = 2372317481
BaseRepresentation
bin1010110101100…
…10100110111000
320100001122212011
411122302212320
5141233042422
613004255304
72152500100
oct532624670
9210048764
1090909112
11473523a8
1226541534
1315aac998
14c106200
157eab077
hex56b29b8

90909112 has 48 divisors (see below), whose sum is σ = 204707520. Its totient is φ = 37699200.

The previous prime is 90909109. The next prime is 90909121. The reversal of 90909112 is 21190909.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8412 + ... + 15892.

It is an arithmetic number, because the mean of its divisors is an integer number (4264740).

Almost surely, 290909112 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 90909112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102353760).

90909112 is an abundant number, since it is smaller than the sum of its proper divisors (113798408).

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

90909112 is a wasteful number, since it uses less digits than its factorization.

90909112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

The square root of 90909112 is about 9534.6269984725. The cubic root of 90909112 is about 449.6443477951.

The spelling of 90909112 in words is "ninety million, nine hundred nine thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 6076 7481 12152 14962 29924 52367 59848 104734 209468 231911 366569 418936 463822 733138 927644 1466276 1623377 1855288 2932552 3246754 6493508 11363639 12987016 22727278 45454556 90909112