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90885825 = 32521723761
BaseRepresentation
bin1010110101011…
…00111011000001
320100000110220200
411122230323001
5141231321300
613003555413
72152342152
oct532547301
9210013820
1090885825
1147336958
122652bb69
1315aa21c4
14c0db929
157ea4200
hex56acec1

90885825 has 36 divisors (see below), whose sum is σ = 172369548. Its totient is φ = 45619200.

The previous prime is 90885763. The next prime is 90885833. The reversal of 90885825 is 52858809.

It can be written as a sum of positive squares in 6 ways, for example, as 103041 + 90782784 = 321^2 + 9528^2 .

It is not a de Polignac number, because 90885825 - 221 = 88788673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8056 + ... + 15705.

It is an arithmetic number, because the mean of its divisors is an integer number (4788043).

Almost surely, 290885825 is an apocalyptic number.

It is an amenable number.

90885825 is a deficient number, since it is larger than the sum of its proper divisors (81483723).

90885825 is a wasteful number, since it uses less digits than its factorization.

90885825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23794 (or 23786 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 90885825 is about 9533.4057398183. The cubic root of 90885825 is about 449.6059513429.

The spelling of 90885825 in words is "ninety million, eight hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 23761 71283 118805 213849 356415 403937 594025 1069245 1211811 1782075 2019685 3635433 5346225 6059055 10098425 18177165 30295275 90885825