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90345025 = 5219012
BaseRepresentation
bin1010110001010…
…00111001000001
320022000000002001
411120220321001
5141112020100
612544224001
72144630401
oct530507101
9208000061
1090345025
1146aa7611
122630b001
1315942cc4
14bdda801
157de8d6a
hex5628e41

90345025 has 9 divisors (see below), whose sum is σ = 112086793. Its totient is φ = 72238000.

The previous prime is 90345023. The next prime is 90345029. The reversal of 90345025 is 52054309.

The square root of 90345025 is 9505.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31730689 + 58614336 = 5633^2 + 7656^2 .

It is not a de Polignac number, because 90345025 - 21 = 90345023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90344984 and 90345002.

It is not an unprimeable number, because it can be changed into a prime (90345023) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 46575 + ... + 48475.

Almost surely, 290345025 is an apocalyptic number.

90345025 is the 9505-th square number.

90345025 is the 4753-rd centered octagonal number.

It is an amenable number.

90345025 is a deficient number, since it is larger than the sum of its proper divisors (21741768).

90345025 is an frugal number, since it uses more digits than its factorization.

90345025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The cubic root of 90345025 is about 448.7124098524.

The spelling of 90345025 in words is "ninety million, three hundred forty-five thousand, twenty-five".

Divisors: 1 5 25 1901 9505 47525 3613801 18069005 90345025