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90656125 = 537219241
BaseRepresentation
bin1010110011101…
…00110101111101
320022120210211021
411121310311331
5141201444000
612555024141
72150364400
oct531646575
9208523737
1090656125
114719a31a
122643b051
1315a217a1
14c07bd37
157e5b11a
hex5674d7d

90656125 has 72 divisors (see below), whose sum is σ = 142289784. Its totient is φ = 57456000.

The previous prime is 90656123. The next prime is 90656143. The reversal of 90656125 is 52165609.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20448484 + 70207641 = 4522^2 + 8379^2 .

It is not a de Polignac number, because 90656125 - 21 = 90656123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90656123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2211105 + ... + 2211145.

It is an arithmetic number, because the mean of its divisors is an integer number (1976247).

Almost surely, 290656125 is an apocalyptic number.

90656125 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90656125 is a deficient number, since it is larger than the sum of its proper divisors (51633659).

90656125 is a wasteful number, since it uses less digits than its factorization.

90656125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 90656125 is about 9521.3510070788. The cubic root of 90656125 is about 449.2268617439.

The spelling of 90656125 in words is "ninety million, six hundred fifty-six thousand, one hundred twenty-five".

Divisors: 1 5 7 19 25 35 41 49 95 125 133 175 205 245 287 361 475 665 779 875 931 1025 1225 1435 1805 2009 2375 2527 3325 3895 4655 5125 5453 6125 7175 9025 10045 12635 14801 16625 17689 19475 23275 27265 35875 38171 45125 50225 63175 74005 88445 97375 103607 116375 136325 190855 251125 315875 370025 442225 518035 681625 725249 954275 1850125 2211125 2590175 3626245 4771375 12950875 18131225 90656125