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90725024 = 25134672
BaseRepresentation
bin1010110100001…
…01101010100000
320022201022100002
411122011222200
5141211200044
613000315132
72151102305
oct532055240
9208638302
1090725024
1147237065
1226472aa8
1315a46c60
14c0990ac
157e7174e
hex5685aa0

90725024 has 36 divisors (see below), whose sum is σ = 192767274. Its totient is φ = 41783424.

The previous prime is 90725017. The next prime is 90725027. The reversal of 90725024 is 42052709.

It can be written as a sum of positive squares in only one way, i.e., 87235600 + 3489424 = 9340^2 + 1868^2 .

It is not an unprimeable number, because it can be changed into a prime (90725027) 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 5 ways as a sum of consecutive naturals, for example, 194039 + ... + 194505.

Almost surely, 290725024 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 90725024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96383637).

90725024 is an abundant number, since it is smaller than the sum of its proper divisors (102042250).

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

90725024 is an equidigital number, since it uses as much as digits as its factorization.

90725024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 90725024 is about 9524.9684513913. The cubic root of 90725024 is about 449.3406376335.

The spelling of 90725024 in words is "ninety million, seven hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 467 934 1868 3736 6071 7472 12142 14944 24284 48568 97136 194272 218089 436178 872356 1744712 2835157 3489424 5670314 6978848 11340628 22681256 45362512 90725024