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75800052 = 22322105557
BaseRepresentation
bin1001000010010…
…01110111110100
312021122001010100
410201021313310
5123401100202
611304354100
71610201256
oct441116764
9167561110
1075800052
1139872779
1221475930
131291c803
14a0d1cd6
1569c441c
hex4849df4

75800052 has 18 divisors (see below), whose sum is σ = 191605778. Its totient is φ = 25266672.

The previous prime is 75800047. The next prime is 75800107. The reversal of 75800052 is 25000857.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75272976 + 527076 = 8676^2 + 726^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 75799989 and 75800025.

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 5 ways as a sum of consecutive naturals, for example, 1052743 + ... + 1052814.

Almost surely, 275800052 is an apocalyptic number.

It is an amenable number.

75800052 is an abundant number, since it is smaller than the sum of its proper divisors (115805726).

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

75800052 is a wasteful number, since it uses less digits than its factorization.

75800052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105567 (or 2105562 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 75800052 is about 8706.3225302076. The cubic root of 75800052 is about 423.2105653193.

The spelling of 75800052 in words is "seventy-five million, eight hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2105557 4211114 6316671 8422228 12633342 18950013 25266684 37900026 75800052