Base | Representation |
---|---|
bin | 1010110001110… |
… | …11111000010000 |
3 | 20022010221202121 |
4 | 11120323320100 |
5 | 141122012200 |
6 | 12550024024 |
7 | 2145403216 |
oct | 530737020 |
9 | 208127677 |
10 | 90422800 |
11 | 4704aa96 |
12 | 26348014 |
13 | 1596c520 |
14 | c01acb6 |
15 | 7e11e1a |
hex | 563be10 |
90422800 has 60 divisors (see below), whose sum is σ = 233965060. Its totient is φ = 33384960.
The previous prime is 90422791. The next prime is 90422809. The reversal of 90422800 is 822409.
It is an interprime number because it is at equal distance from previous prime (90422791) and next prime (90422809).
It can be written as a sum of positive squares in 6 ways, for example, as 6370576 + 84052224 = 2524^2 + 9168^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (90422809) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3495 + ... + 13894.
Almost surely, 290422800 is an apocalyptic number.
It is an amenable number.
90422800 is an abundant number, since it is smaller than the sum of its proper divisors (143542260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90422800 is a wasteful number, since it uses less digits than its factorization.
90422800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17420 (or 17409 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 25.
The square root of 90422800 is about 9509.0903876238. The cubic root of 90422800 is about 448.8411334065.
The spelling of 90422800 in words is "ninety million, four hundred twenty-two thousand, eight hundred".
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