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42567993 = 3213363829
BaseRepresentation
bin1010001001100…
…0100100111001
32222002200022100
42202120210321
541344133433
64120214013
71024551636
oct242304471
988080270
1042567993
1122034a66
121230a309
138a85680
14592118d
153b0cb13
hex2898939

42567993 has 12 divisors (see below), whose sum is σ = 66217060. Its totient is φ = 26195616.

The previous prime is 42567989. The next prime is 42568003. The reversal of 42567993 is 39976524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 40793769 = 1332^2 + 6387^2 .

It is not a de Polignac number, because 42567993 - 22 = 42567989 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42567913) 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 11 ways as a sum of consecutive naturals, for example, 181798 + ... + 182031.

Almost surely, 242567993 is an apocalyptic number.

It is an amenable number.

42567993 is a deficient number, since it is larger than the sum of its proper divisors (23649067).

42567993 is a wasteful number, since it uses less digits than its factorization.

42567993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363848 (or 363845 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 42567993 is about 6524.4151462028. The cubic root of 42567993 is about 349.1626048846.

The spelling of 42567993 in words is "forty-two million, five hundred sixty-seven thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 39 117 363829 1091487 3274461 4729777 14189331 42567993