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90258372 = 223217147481
BaseRepresentation
bin1010110000100…
…11101111000100
320021211121012200
411120103233010
5141101231442
612542314500
72144116641
oct530235704
9207747180
1090258372
1146a484a6
1226288a30
1315912729
14bdb6dc8
157dcd34c
hex5613bc4

90258372 has 36 divisors (see below), whose sum is σ = 241575516. Its totient is φ = 28316160.

The previous prime is 90258367. The next prime is 90258401. The reversal of 90258372 is 27385209.

It is a happy number.

90258372 is a `hidden beast` number, since 9 + 0 + 2 + 583 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84382596 + 5875776 = 9186^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 73129 + ... + 74352.

It is an arithmetic number, because the mean of its divisors is an integer number (6710431).

Almost surely, 290258372 is an apocalyptic number.

It is an amenable number.

90258372 is an abundant number, since it is smaller than the sum of its proper divisors (151317144).

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

90258372 is a wasteful number, since it uses less digits than its factorization.

90258372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147508 (or 147503 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 90258372 is about 9500.4406213607. The cubic root of 90258372 is about 448.5689054954.

The spelling of 90258372 in words is "ninety million, two hundred fifty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 147481 294962 442443 589924 884886 1327329 1769772 2507177 2654658 5014354 5309316 7521531 10028708 15043062 22564593 30086124 45129186 90258372