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90422800 = 24521317389
BaseRepresentation
bin1010110001110…
…11111000010000
320022010221202121
411120323320100
5141122012200
612550024024
72145403216
oct530737020
9208127677
1090422800
114704aa96
1226348014
131596c520
14c01acb6
157e11e1a
hex563be10

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".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 17389 34778 69556 86945 139112 173890 226057 278224 347780 434725 452114 695560 869450 904228 1130285 1391120 1738900 1808456 2260570 3477800 3616912 4521140 5651425 6955600 9042280 11302850 18084560 22605700 45211400 90422800