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57119013 = 347131769
BaseRepresentation
bin1101100111100…
…1000100100101
310222110221120000
43121321010211
5104110302023
65400131513
71262334510
oct331710445
9128427500
1057119013
112a2733a6
1217166b99
13baab843
14782bd77
155034243
hex3679125

57119013 has 40 divisors (see below), whose sum is σ = 98387520. Its totient is φ = 32348160.

The previous prime is 57119011. The next prime is 57119017. The reversal of 57119013 is 31091175.

It is a happy number.

57119013 is a `hidden beast` number, since 571 + 1 + 90 + 1 + 3 = 666.

57119013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57119013 - 21 = 57119011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57119011) 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 39 ways as a sum of consecutive naturals, for example, 73893 + ... + 74661.

It is an arithmetic number, because the mean of its divisors is an integer number (2459688).

Almost surely, 257119013 is an apocalyptic number.

It is an amenable number.

57119013 is a deficient number, since it is larger than the sum of its proper divisors (41268507).

57119013 is a wasteful number, since it uses less digits than its factorization.

57119013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 57119013 is about 7557.7121538201. The cubic root of 57119013 is about 385.1177758524.

The spelling of 57119013 in words is "fifty-seven million, one hundred nineteen thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 81 131 189 393 567 769 917 1179 2307 2751 3537 5383 6921 8253 10611 16149 20763 24759 48447 62289 74277 100739 145341 302217 436023 705173 906651 2115519 2719953 6346557 8159859 19039671 57119013