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42902769 = 3713413833
BaseRepresentation
bin1010001110101…
…0010011110001
32222201200112110
42203222103301
541440342034
64131315533
71030444650
oct243522361
988650473
1042902769
1122243538
121244bba9
138b71b70
1459ab197
153b76de9
hex28ea4f1

42902769 has 32 divisors (see below), whose sum is σ = 72140544. Its totient is φ = 22072320.

The previous prime is 42902749. The next prime is 42902807. The reversal of 42902769 is 96720924.

42902769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42902769 - 25 = 42902737 is a prime.

It is a super-2 number, since 2×429027692 = 3681295175734722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42902719) 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 31 ways as a sum of consecutive naturals, for example, 9277 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (2254392).

Almost surely, 242902769 is an apocalyptic number.

It is an amenable number.

42902769 is a deficient number, since it is larger than the sum of its proper divisors (29237775).

42902769 is a wasteful number, since it uses less digits than its factorization.

42902769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 42902769 is about 6550.0205343190. The cubic root of 42902769 is about 350.0755455975.

The spelling of 42902769 in words is "forty-two million, nine hundred two thousand, seven hundred sixty-nine".

Divisors: 1 3 7 13 21 39 41 91 123 273 287 533 861 1599 3731 3833 11193 11499 26831 49829 80493 149487 157153 348803 471459 1046409 1100071 2042989 3300213 6128967 14300923 42902769