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90248045 = 51011731033
BaseRepresentation
bin1010110000100…
…01001101101101
320021211002001012
411120101031231
5141100414140
612542155005
72144044556
oct530211555
9207732035
1090248045
1146a40768
1226282a65
131590ab14
14bdb332d
157dca265
hex561136d

90248045 has 16 divisors (see below), whose sum is σ = 110108592. Its totient is φ = 71001600.

The previous prime is 90248033. The next prime is 90248051. The reversal of 90248045 is 54084209.

It can be written as a sum of positive squares in 8 ways, for example, as 42954916 + 47293129 = 6554^2 + 6877^2 .

It is a de Polignac number, because none of the positive numbers 2k-90248045 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86849 + ... + 87881.

It is an arithmetic number, because the mean of its divisors is an integer number (6881787).

Almost surely, 290248045 is an apocalyptic number.

It is an amenable number.

90248045 is a deficient number, since it is larger than the sum of its proper divisors (19860547).

90248045 is a wasteful number, since it uses less digits than its factorization.

90248045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 90248045 is about 9499.8971047059. The cubic root of 90248045 is about 448.5517970260.

The spelling of 90248045 in words is "ninety million, two hundred forty-eight thousand, forty-five".

Divisors: 1 5 101 173 505 865 1033 5165 17473 87365 104333 178709 521665 893545 18049609 90248045