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84923325 = 3252371012
BaseRepresentation
bin1010000111111…
…01001110111101
312220210112220100
411003331032331
5133220021300
612232111313
72050556604
oct503751675
9186715810
1084923325
1143a34173
1224535539
13147952b6
14b3c8a3b
1576c7700
hex50fd3bd

84923325 has 54 divisors (see below), whose sum is σ = 157780142. Its totient is φ = 43632000.

The previous prime is 84923299. The next prime is 84923393. The reversal of 84923325 is 52332948.

It can be written as a sum of positive squares in 9 ways, for example, as 6441444 + 78481881 = 2538^2 + 8859^2 .

It is a de Polignac number, because none of the positive numbers 2k-84923325 is a prime.

It is a super-2 number, since 2×849233252 = 14423942258111250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84923325.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 840775 + ... + 840875.

Almost surely, 284923325 is an apocalyptic number.

It is an amenable number.

84923325 is a deficient number, since it is larger than the sum of its proper divisors (72856817).

84923325 is a wasteful number, since it uses less digits than its factorization.

84923325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 146 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 84923325 is about 9215.3852334018. The cubic root of 84923325 is about 439.5507208098.

The spelling of 84923325 in words is "eighty-four million, nine hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 101 111 185 225 303 333 505 555 909 925 1515 1665 2525 2775 3737 4545 7575 8325 10201 11211 18685 22725 30603 33633 51005 56055 91809 93425 153015 168165 255025 280275 377437 459045 765075 840825 1132311 1887185 2295225 3396933 5661555 9435925 16984665 28307775 84923325