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90634848 = 2531914943
BaseRepresentation
bin1010110011011…
…11101001100000
320022112201122020
411121233221200
5141200303343
612554341440
72150245353
oct531575140
9208481566
1090634848
1147185337
122642a880
1315a14bb5
14c07429a
157e54b83
hex566fa60

90634848 has 48 divisors (see below), whose sum is σ = 239210496. Its totient is φ = 30047360.

The previous prime is 90634813. The next prime is 90634861. The reversal of 90634848 is 84843609.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15865 + ... + 20807.

It is an arithmetic number, because the mean of its divisors is an integer number (4983552).

Almost surely, 290634848 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 90634848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119605248).

90634848 is an abundant number, since it is smaller than the sum of its proper divisors (148575648).

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

90634848 is a wasteful number, since it uses less digits than its factorization.

90634848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 90634848 is about 9520.2336105791. The cubic root of 90634848 is about 449.1917144669.

The spelling of 90634848 in words is "ninety million, six hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 4584 4943 6112 9168 9886 14829 18336 19772 29658 39544 59316 79088 118632 158176 237264 474528 944113 1888226 2832339 3776452 5664678 7552904 11329356 15105808 22658712 30211616 45317424 90634848