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57687457 is a prime number
BaseRepresentation
bin1101110000001…
…1110110100001
311000112211022111
43130003312201
5104231444312
65420235321
71300223002
oct334036641
9130484274
1057687457
112a621493
121739bb41
13bc4a4b9
1479391a9
1550e78a7
hex3703da1

57687457 has 2 divisors, whose sum is σ = 57687458. Its totient is φ = 57687456.

The previous prime is 57687437. The next prime is 57687481. The reversal of 57687457 is 75478675.

It is a happy number.

57687457 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., 30813601 + 26873856 = 5551^2 + 5184^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57687457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57687457.

It is not a weakly prime, because it can be changed into another prime (57687437) 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, 28843728 + 28843729.

It is an arithmetic number, because the mean of its divisors is an integer number (28843729).

Almost surely, 257687457 is an apocalyptic number.

It is an amenable number.

57687457 is a deficient number, since it is larger than the sum of its proper divisors (1).

57687457 is an equidigital number, since it uses as much as digits as its factorization.

57687457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1646400, while the sum is 49.

The square root of 57687457 is about 7595.2259347566. The cubic root of 57687457 is about 386.3911151969.

It can be divided in two parts, 5768 and 7457, that added together give a square (13225 = 1152).

The spelling of 57687457 in words is "fifty-seven million, six hundred eighty-seven thousand, four hundred fifty-seven".