Search a number
-
+
57607681 is a prime number
BaseRepresentation
bin1101101111000…
…0011000000001
311000101202212211
43123300120001
5104221421211
65414422121
71266441265
oct333603001
9130352784
1057607681
112a57755a
1217361941
13bc200b1
1479180a5
1550cde21
hex36f0601

57607681 has 2 divisors, whose sum is σ = 57607682. Its totient is φ = 57607680.

The previous prime is 57607651. The next prime is 57607687. The reversal of 57607681 is 18670675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35892081 + 21715600 = 5991^2 + 4660^2 .

It is a cyclic number.

It is not a de Polignac number, because 57607681 - 27 = 57607553 is a prime.

It is a super-2 number, since 2×576076812 = 6637289820395522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57607687) 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 as a sum of consecutive naturals, namely, 28803840 + 28803841.

It is an arithmetic number, because the mean of its divisors is an integer number (28803841).

Almost surely, 257607681 is an apocalyptic number.

It is an amenable number.

57607681 is a deficient number, since it is larger than the sum of its proper divisors (1).

57607681 is an equidigital number, since it uses as much as digits as its factorization.

57607681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 57607681 is about 7589.9723978418. The cubic root of 57607681 is about 386.2129195699.

The spelling of 57607681 in words is "fifty-seven million, six hundred seven thousand, six hundred eighty-one".