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42765762 = 23133491571
BaseRepresentation
bin1010001100100…
…0110111000010
32222110201121010
42203020313002
541422001022
64124341350
71026334344
oct243106702
988421533
1042765762
112215a606
12123a4856
138b246b0
145973294
153b4b50c
hex28c8dc2

42765762 has 32 divisors (see below), whose sum is σ = 92433600. Its totient is φ = 13112640.

The previous prime is 42765743. The next prime is 42765769. The reversal of 42765762 is 26756724.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42765762.

It is not an unprimeable number, because it can be changed into a prime (42765769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26437 + ... + 28007.

It is an arithmetic number, because the mean of its divisors is an integer number (2888550).

Almost surely, 242765762 is an apocalyptic number.

42765762 is an abundant number, since it is smaller than the sum of its proper divisors (49667838).

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

42765762 is a wasteful number, since it uses less digits than its factorization.

42765762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938.

The product of its digits is 141120, while the sum is 39.

The square root of 42765762 is about 6539.5536544936. The cubic root of 42765762 is about 349.7025009397.

The spelling of 42765762 in words is "forty-two million, seven hundred sixty-five thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 13 26 39 78 349 698 1047 1571 2094 3142 4537 4713 9074 9426 13611 20423 27222 40846 61269 122538 548279 1096558 1644837 3289674 7127627 14255254 21382881 42765762