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42902500 = 22541312
BaseRepresentation
bin1010001110101…
…0001111100100
32222201200011111
42203222033210
541440340000
64131314404
71030444114
oct243521744
988650144
1042902500
1122243313
121244ba04
138b719c4
1459ab044
153b76cba
hex28ea3e4

42902500 has 45 divisors (see below), whose sum is σ = 94540831. Its totient is φ = 17030000.

The previous prime is 42902471. The next prime is 42902501. The reversal of 42902500 is 520924.

It is a happy number.

The square root of 42902500 is 6550.

It is a perfect power (a square), and thus also a powerful number.

42902500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3363556 + 39538944 = 1834^2 + 6288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42902501) 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 14 ways as a sum of consecutive naturals, for example, 327435 + ... + 327565.

Almost surely, 242902500 is an apocalyptic number.

42902500 is the 6550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42902500

42902500 is an abundant number, since it is smaller than the sum of its proper divisors (51638331).

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

42902500 is an equidigital number, since it uses as much as digits as its factorization.

42902500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The cubic root of 42902500 is about 350.0748139390.

The spelling of 42902500 in words is "forty-two million, nine hundred two thousand, five hundred".