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90852525 = 32522331733
BaseRepresentation
bin1010110101001…
…00110010101101
320022221210020100
411122210302231
5141224240100
613003141313
72152143111
oct532446255
9208853210
1090852525
1147313935
1226514839
1315a8ccba
14c0cd741
157e99400
hex56a4cad

90852525 has 36 divisors (see below), whose sum is σ = 163519668. Its totient is φ = 48218880.

The previous prime is 90852521. The next prime is 90852527. The reversal of 90852525 is 52525809.

It can be written as a sum of positive squares in 6 ways, for example, as 9474084 + 81378441 = 3078^2 + 9021^2 .

It is not a de Polignac number, because 90852525 - 22 = 90852521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90852525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90852521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51559 + ... + 53291.

It is an arithmetic number, because the mean of its divisors is an integer number (4542213).

Almost surely, 290852525 is an apocalyptic number.

It is an amenable number.

90852525 is a deficient number, since it is larger than the sum of its proper divisors (72667143).

90852525 is a wasteful number, since it uses less digits than its factorization.

90852525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 90852525 is about 9531.6590895814. The cubic root of 90852525 is about 449.5510336955.

The spelling of 90852525 in words is "ninety million, eight hundred fifty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 233 699 1165 1733 2097 3495 5199 5825 8665 10485 15597 17475 25995 43325 52425 77985 129975 389925 403789 1211367 2018945 3634101 6056835 10094725 18170505 30284175 90852525