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90485172 = 22322513477
BaseRepresentation
bin1010110010010…
…11000110110100
320022021010022200
411121023012310
5141131011142
612551224500
72146053111
oct531130664
9208233280
1090485172
1147092938
1226378130
1315991a2b
14c035908
157e2564c
hex564b1b4

90485172 has 18 divisors (see below), whose sum is σ = 228726498. Its totient is φ = 30161712.

The previous prime is 90485159. The next prime is 90485177. The reversal of 90485172 is 27158409.

90485172 is a `hidden beast` number, since 9 + 0 + 485 + 172 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83064996 + 7420176 = 9114^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2513477 = 90485172 / (9 + 0 + 4 + 8 + 5 + 1 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90485177) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1256703 + ... + 1256774.

Almost surely, 290485172 is an apocalyptic number.

It is an amenable number.

90485172 is an abundant number, since it is smaller than the sum of its proper divisors (138241326).

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

90485172 is a wasteful number, since it uses less digits than its factorization.

90485172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513487 (or 2513482 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 90485172 is about 9512.3694209172. The cubic root of 90485172 is about 448.9443104989.

The spelling of 90485172 in words is "ninety million, four hundred eighty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 2513477 5026954 7540431 10053908 15080862 22621293 30161724 45242586 90485172