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90488532 = 22323378861
BaseRepresentation
bin1010110010010…
…11111011010100
320022021021221010
411121023323110
5141131113112
612551252220
72146065651
oct531137324
9208237833
1090488532
1147095412
122637a070
1315993414
14c036c28
157e2663c
hex564bed4

90488532 has 48 divisors (see below), whose sum is σ = 226300032. Its totient is φ = 28068480.

The previous prime is 90488527. The next prime is 90488533. The reversal of 90488532 is 23588409.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90488533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5782 + ... + 14642.

It is an arithmetic number, because the mean of its divisors is an integer number (4714584).

Almost surely, 290488532 is an apocalyptic number.

90488532 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90488532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113150016).

90488532 is an abundant number, since it is smaller than the sum of its proper divisors (135811500).

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

90488532 is a wasteful number, since it uses less digits than its factorization.

90488532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8926 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 90488532 is about 9512.5460314261. The cubic root of 90488532 is about 448.9498673365.

The spelling of 90488532 in words is "ninety million, four hundred eighty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1702 2553 3404 5106 8861 10212 17722 26583 35444 53166 106332 203803 327857 407606 611409 655714 815212 983571 1222818 1311428 1967142 2445636 3934284 7540711 15081422 22622133 30162844 45244266 90488532