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40057957 is a prime number
BaseRepresentation
bin1001100011001…
…1110001100101
32210101011012001
42120303301211
540223323312
63550325301
7664326022
oct230636145
983334161
1040057957
1120680155
12114b9831
1383b7044
14546a549
1537b4057
hex2633c65

40057957 has 2 divisors, whose sum is σ = 40057958. Its totient is φ = 40057956.

The previous prime is 40057937. The next prime is 40057981. The reversal of 40057957 is 75975004.

40057957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29095236 + 10962721 = 5394^2 + 3311^2 .

It is a cyclic number.

It is not a de Polignac number, because 40057957 - 211 = 40055909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40057937) 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 as a sum of consecutive naturals, namely, 20028978 + 20028979.

It is an arithmetic number, because the mean of its divisors is an integer number (20028979).

Almost surely, 240057957 is an apocalyptic number.

It is an amenable number.

40057957 is a deficient number, since it is larger than the sum of its proper divisors (1).

40057957 is an equidigital number, since it uses as much as digits as its factorization.

40057957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 40057957 is about 6329.1355649883. The cubic root of 40057957 is about 342.1602847506.

It can be divided in two parts, 40057 and 957, that added together give a palindrome (41014).

The spelling of 40057957 in words is "forty million, fifty-seven thousand, nine hundred fifty-seven".