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90909084 = 22372967557
BaseRepresentation
bin1010110101100…
…10100110011100
320100001122211010
411122302212130
5141233042314
613004255220
72152500030
oct532624634
9210048733
1090909084
1147352382
1226541510
1315aac976
14c1061c0
157eab059
hex56b299c

90909084 has 96 divisors (see below), whose sum is σ = 254983680. Its totient is φ = 24659712.

The previous prime is 90909073. The next prime is 90909089. The reversal of 90909084 is 48090909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162934 + ... + 163490.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 290909084 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 90909084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

90909084 is an abundant number, since it is smaller than the sum of its proper divisors (164074596).

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

90909084 is a wasteful number, since it uses less digits than its factorization.

90909084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 90909084 is about 9534.6255301401. The cubic root of 90909084 is about 449.6443016316.

The spelling of 90909084 in words is "ninety million, nine hundred nine thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 67 84 87 116 134 174 201 203 268 348 402 406 469 557 609 804 812 938 1114 1218 1407 1671 1876 1943 2228 2436 2814 3342 3886 3899 5628 5829 6684 7772 7798 11658 11697 13601 15596 16153 23316 23394 27202 32306 37319 40803 46788 48459 54404 64612 74638 81606 96918 111957 113071 149276 163212 193836 223914 226142 261233 339213 447828 452284 522466 678426 783699 1044932 1082251 1356852 1567398 2164502 3134796 3246753 4329004 6493506 7575757 12987012 15151514 22727271 30303028 45454542 90909084