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90248641 = 724993691
BaseRepresentation
bin1010110000100…
…01010111000001
320021211002212021
411120101113001
5141100424031
612542201441
72144046400
oct530212701
9207732767
1090248641
1146a4115a
1226283281
131590b182
14bdb3637
157dca511
hex56115c1

90248641 has 12 divisors (see below), whose sum is σ = 105222000. Its totient is φ = 77180040.

The previous prime is 90248593. The next prime is 90248647. The reversal of 90248641 is 14684209.

It is not a de Polignac number, because 90248641 - 217 = 90117569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90248597 and 90248606.

It is not an unprimeable number, because it can be changed into a prime (90248647) 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 11 ways as a sum of consecutive naturals, for example, 22606 + ... + 26296.

It is an arithmetic number, because the mean of its divisors is an integer number (8768500).

Almost surely, 290248641 is an apocalyptic number.

It is an amenable number.

90248641 is a deficient number, since it is larger than the sum of its proper divisors (14973359).

90248641 is a wasteful number, since it uses less digits than its factorization.

90248641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 90248641 is about 9499.9284734149. The cubic root of 90248641 is about 448.5527844390.

The spelling of 90248641 in words is "ninety million, two hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 7 49 499 3493 3691 24451 25837 180859 1841809 12892663 90248641