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100422792 = 233211812
BaseRepresentation
bin1011111110001…
…01010010001000
320222222000011200
411333011102020
5201202012132
613544224200
72326402551
oct577052210
9228860150
10100422792
1151760148
122976b060
1317a61092
14d4a1328
158c39d7c
hex5fc5488

100422792 has 36 divisors (see below), whose sum is σ = 272208885. Its totient is φ = 33445920.

The previous prime is 100422787. The next prime is 100422823. The reversal of 100422792 is 297224001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 77898276 + 22524516 = 8826^2 + 4746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7086.

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 8 ways as a sum of consecutive naturals, for example, 84442 + ... + 85622.

Almost surely, 2100422792 is an apocalyptic number.

100422792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100422792 is an abundant number, since it is smaller than the sum of its proper divisors (171786093).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100422792 is an equidigital number, since it uses as much as digits as its factorization.

100422792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100422792 is about 10021.1173029758. The cubic root of 100422792 is about 464.8121058423.

Adding to 100422792 its reverse (297224001), we get a palindrome (397646793).

The spelling of 100422792 in words is "one hundred million, four hundred twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1181 2362 3543 4724 7086 9448 10629 14172 21258 28344 42516 85032 1394761 2789522 4184283 5579044 8368566 11158088 12552849 16737132 25105698 33474264 50211396 100422792