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57138417 = 3272347839
BaseRepresentation
bin1101100111110…
…1110011110001
310222111221011200
43121331303301
5104111412132
65400401413
71262445210
oct331756361
9128457150
1057138417
112a286a36
1217176269
13bab761b
147835077
155039d7c
hex367dcf1

57138417 has 48 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 30530016.

The previous prime is 57138413. The next prime is 57138539. The reversal of 57138417 is 71483175.

57138417 is a `hidden beast` number, since 571 + 3 + 84 + 1 + 7 = 666.

It is not a de Polignac number, because 57138417 - 22 = 57138413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57138413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67684 + ... + 68522.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 257138417 is an apocalyptic number.

It is an amenable number.

57138417 is a deficient number, since it is larger than the sum of its proper divisors (43500303).

57138417 is a wasteful number, since it uses less digits than its factorization.

57138417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 919 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 57138417 is about 7558.9957666346. The cubic root of 57138417 is about 385.1613805933.

The spelling of 57138417 in words is "fifty-seven million, one hundred thirty-eight thousand, four hundred seventeen".

Divisors: 1 3 7 9 21 23 47 63 69 141 161 207 329 423 483 839 987 1081 1449 2517 2961 3243 5873 7551 7567 9729 17619 19297 22701 39433 52857 57891 68103 118299 135079 173673 276031 354897 405237 828093 906959 1215711 2484279 2720877 6348713 8162631 19046139 57138417