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90195625 = 541317653
BaseRepresentation
bin1010110000001…
…00011010101001
320021201102010201
411120010122221
5141042230000
612541112201
72143436002
oct530043251
9207642121
1090195625
1146a05343
1226258661
13158bccc0
14bd9c1a9
157db996a
hex56046a9

90195625 has 40 divisors (see below), whose sum is σ = 128715048. Its totient is φ = 62592000.

The previous prime is 90195607. The next prime is 90195649. The reversal of 90195625 is 52659109.

It can be written as a sum of positive squares in 20 ways, for example, as 89624089 + 571536 = 9467^2 + 756^2 .

It is not a de Polignac number, because 90195625 - 211 = 90193577 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 137799 + ... + 138451.

Almost surely, 290195625 is an apocalyptic number.

It is an amenable number.

90195625 is a deficient number, since it is larger than the sum of its proper divisors (38519423).

90195625 is a wasteful number, since it uses less digits than its factorization.

90195625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 90195625 is about 9497.1377267048. The cubic root of 90195625 is about 448.4649340580.

The spelling of 90195625 in words is "ninety million, one hundred ninety-five thousand, six hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 125 221 325 425 625 653 1105 1625 2125 3265 5525 8125 8489 10625 11101 16325 27625 42445 55505 81625 138125 144313 212225 277525 408125 721565 1061125 1387625 3607825 5305625 6938125 18039125 90195625