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42567157 = 2910114533
BaseRepresentation
bin1010001001100…
…0010111110101
32222002122011101
42202120113311
541344122112
64120210101
71024546333
oct242302765
988078141
1042567157
1122034376
1212309931
138a85189
145920b53
153b0c757
hex28985f5

42567157 has 8 divisors (see below), whose sum is σ = 44474040. Its totient is φ = 40689600.

The previous prime is 42567149. The next prime is 42567179. The reversal of 42567157 is 75176524.

42567157 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 4 ways, for example, as 19131876 + 23435281 = 4374^2 + 4841^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42567157 - 23 = 42567149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42567197) 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 7 ways as a sum of consecutive naturals, for example, 4338 + ... + 10195.

It is an arithmetic number, because the mean of its divisors is an integer number (5559255).

Almost surely, 242567157 is an apocalyptic number.

It is an amenable number.

42567157 is a deficient number, since it is larger than the sum of its proper divisors (1906883).

42567157 is a wasteful number, since it uses less digits than its factorization.

42567157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663.

The product of its digits is 58800, while the sum is 37.

The square root of 42567157 is about 6524.3510788430. The cubic root of 42567157 is about 349.1603191152.

It can be divided in two parts, 42567 and 157, that added together give a palindrome (42724).

The spelling of 42567157 in words is "forty-two million, five hundred sixty-seven thousand, one hundred fifty-seven".

Divisors: 1 29 101 2929 14533 421457 1467833 42567157