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90923625 = 3253136217
BaseRepresentation
bin1010110101101…
…10001001101001
320100002101202200
411122312021221
5141234024000
613004450413
72152560312
oct532661151
9210071680
1090923625
11473622a1
1226549a09
1315ab6480
14c10b609
157eb0500
hex56b6269

90923625 has 48 divisors (see below), whose sum is σ = 176541456. Its totient is φ = 44755200.

The previous prime is 90923621. The next prime is 90923639. The reversal of 90923625 is 52632909.

90923625 is a `hidden beast` number, since 9 + 0 + 9 + 23 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35748441 + 55175184 = 5979^2 + 7428^2 .

It is not a de Polignac number, because 90923625 - 22 = 90923621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90923625.

It is not an unprimeable number, because it can be changed into a prime (90923621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11517 + ... + 17733.

It is an arithmetic number, because the mean of its divisors is an integer number (3677947).

Almost surely, 290923625 is an apocalyptic number.

It is an amenable number.

90923625 is a deficient number, since it is larger than the sum of its proper divisors (85617831).

90923625 is a wasteful number, since it uses less digits than its factorization.

90923625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 90923625 is about 9535.3880361525. The cubic root of 90923625 is about 449.6682740406.

The spelling of 90923625 in words is "ninety million, nine hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 6217 14625 18651 31085 55953 80821 93255 155425 242463 279765 404105 466275 727389 777125 1212315 1398825 2020525 2331375 3636945 6061575 6994125 10102625 18184725 30307875 90923625