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57509413 = 1311093989
BaseRepresentation
bin1101101101100…
…0011000100101
311000012210002021
43123120120211
5104210300123
65412343141
71265551633
oct333303045
9130183067
1057509413
112a50a745
1217314ab1
13bbb7450
1478d0353
1550aec5d
hex36d8625

57509413 has 8 divisors (see below), whose sum is σ = 62004600. Its totient is φ = 53024448.

The previous prime is 57509411. The next prime is 57509423. The reversal of 57509413 is 31490575.

57509413 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 1214404 + 56295009 = 1102^2 + 7503^2 .

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 57509413 - 21 = 57509411 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 (57509411) 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, 12423 + ... + 16411.

It is an arithmetic number, because the mean of its divisors is an integer number (7750575).

Almost surely, 257509413 is an apocalyptic number.

It is an amenable number.

57509413 is a deficient number, since it is larger than the sum of its proper divisors (4495187).

57509413 is a wasteful number, since it uses less digits than its factorization.

57509413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 57509413 is about 7583.4960934914. The cubic root of 57509413 is about 385.9931920909.

Adding to 57509413 its reverse (31490575), we get a palindrome (88999988).

The spelling of 57509413 in words is "fifty-seven million, five hundred nine thousand, four hundred thirteen".

Divisors: 1 13 1109 3989 14417 51857 4423801 57509413