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90622592 = 276710567
BaseRepresentation
bin1010110011011…
…00101010000000
320022112002211022
411121230222000
5141144410332
612554205012
72150164544
oct531545200
9208462738
1090622592
1147177105
1226423768
1315a0c448
14c06da24
157e51212
hex566ca80

90622592 has 32 divisors (see below), whose sum is σ = 183249120. Its totient is φ = 44630784.

The previous prime is 90622591. The next prime is 90622639. The reversal of 90622592 is 29522609.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (90622591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3293 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (5726535).

Almost surely, 290622592 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 90622592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91624560).

90622592 is an abundant number, since it is smaller than the sum of its proper divisors (92626528).

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

90622592 is a wasteful number, since it uses less digits than its factorization.

90622592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10648 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 90622592 is about 9519.5899071336. The cubic root of 90622592 is about 449.1714663984.

The spelling of 90622592 in words is "ninety million, six hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 8576 10567 21134 42268 84536 169072 338144 676288 707989 1352576 1415978 2831956 5663912 11327824 22655648 45311296 90622592