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90924054 = 23133121213
BaseRepresentation
bin1010110101101…
…10010000010110
320100002102100120
411122312100112
5141234032204
613004452410
72152561464
oct532662026
9210072316
1090924054
1147362651
122654a106
1315ab6720
14c10b834
157eb06d9
hex56b6416

90924054 has 48 divisors (see below), whose sum is σ = 202524336. Its totient is φ = 27051840.

The previous prime is 90924049. The next prime is 90924061. The reversal of 90924054 is 45042909.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74352 + ... + 75564.

It is an arithmetic number, because the mean of its divisors is an integer number (4219257).

Almost surely, 290924054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90924054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101262168).

90924054 is an abundant number, since it is smaller than the sum of its proper divisors (111600282).

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

90924054 is a wasteful number, since it uses less digits than its factorization.

90924054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90924054 is about 9535.4105312776. The cubic root of 90924054 is about 449.6689812546.

The spelling of 90924054 in words is "ninety million, nine hundred twenty-four thousand, fifty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 961 1209 1213 1922 2418 2426 2883 3639 5766 7278 12493 15769 24986 31538 37479 37603 47307 74958 75206 94614 112809 225618 488839 977678 1165693 1466517 2331386 2933034 3497079 6994158 15154009 30308018 45462027 90924054