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57680819 = 759139663
BaseRepresentation
bin1101110000001…
…0001110110011
311000112111012122
43130002032303
5104231241234
65420144455
71300164440
oct334021663
9130474178
1057680819
112a6174a9
121739812b
13bc47481
1479369c7
1550e592e
hex37023b3

57680819 has 8 divisors (see below), whose sum is σ = 67038720. Its totient is φ = 48602376.

The previous prime is 57680773. The next prime is 57680837. The reversal of 57680819 is 91808675.

It is a happy number.

57680819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57680819 is a prime.

It is a super-2 number, since 2×576808192 = 6654153761021522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57680819.

It is not an unprimeable number, because it can be changed into a prime (57680839) 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, 69419 + ... + 70244.

It is an arithmetic number, because the mean of its divisors is an integer number (8379840).

Almost surely, 257680819 is an apocalyptic number.

57680819 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

57680819 is a deficient number, since it is larger than the sum of its proper divisors (9357901).

57680819 is a wasteful number, since it uses less digits than its factorization.

57680819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139729.

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 57680819 is about 7594.7889371595. The cubic root of 57680819 is about 386.3762941668.

The spelling of 57680819 in words is "fifty-seven million, six hundred eighty thousand, eight hundred nineteen".

Divisors: 1 7 59 413 139663 977641 8240117 57680819