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42492852 = 22327971481
BaseRepresentation
bin1010001000011…
…0001110110100
32221221212020100
42202012032310
541334232402
64114434100
71024116603
oct242061664
987855210
1042492852
1121a93566
1212292930
138a5a3cc
145901a3a
153ae571c
hex28863b4

42492852 has 36 divisors (see below), whose sum is σ = 107619876. Its totient is φ = 14136960.

The previous prime is 42492839. The next prime is 42492869. The reversal of 42492852 is 25829424.

It can be written as a sum of positive squares in 2 ways, for example, as 19395216 + 23097636 = 4404^2 + 4806^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27952 + ... + 29432.

It is an arithmetic number, because the mean of its divisors is an integer number (2989441).

Almost surely, 242492852 is an apocalyptic number.

It is an amenable number.

42492852 is an abundant number, since it is smaller than the sum of its proper divisors (65127024).

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

42492852 is a wasteful number, since it uses less digits than its factorization.

42492852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2283 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42492852 is about 6518.6541555754. The cubic root of 42492852 is about 348.9570366622.

The spelling of 42492852 in words is "forty-two million, four hundred ninety-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 797 1481 1594 2391 2962 3188 4443 4782 5924 7173 8886 9564 13329 14346 17772 26658 28692 53316 1180357 2360714 3541071 4721428 7082142 10623213 14164284 21246426 42492852