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90858465 = 3252019077
BaseRepresentation
bin1010110101001…
…10001111100001
320022222002101100
411122212033201
5141224432330
613003225013
72152166325
oct532461741
9208862340
1090858465
1147318345
1226518169
1315a92909
14c0d1985
157e9b060
hex56a63e1

90858465 has 12 divisors (see below), whose sum is σ = 157488084. Its totient is φ = 48457824.

The previous prime is 90858461. The next prime is 90858491. The reversal of 90858465 is 56485809.

90858465 is a `hidden beast` number, since 9 + 0 + 8 + 584 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46662561 + 44195904 = 6831^2 + 6648^2 .

It is not a de Polignac number, because 90858465 - 22 = 90858461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2019077 = 90858465 / (9 + 0 + 8 + 5 + 8 + 4 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 90858465.

It is not an unprimeable number, because it can be changed into a prime (90858461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1009494 + ... + 1009583.

It is an arithmetic number, because the mean of its divisors is an integer number (13124007).

Almost surely, 290858465 is an apocalyptic number.

It is an amenable number.

90858465 is a deficient number, since it is larger than the sum of its proper divisors (66629619).

90858465 is a wasteful number, since it uses less digits than its factorization.

90858465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019088 (or 2019085 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 90858465 is about 9531.9706776721. The cubic root of 90858465 is about 449.5608307996.

The spelling of 90858465 in words is "ninety million, eight hundred fifty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 2019077 6057231 10095385 18171693 30286155 90858465