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57009141 = 327904907
BaseRepresentation
bin1101100101111…
…0001111110101
310222021100211200
43121132033311
5104043243031
65353523113
71261366260
oct331361765
9128240750
1057009141
112a1a88a2
1217113499
13ba70827
1477ddcd7
1550118e6
hex365e3f5

57009141 has 12 divisors (see below), whose sum is σ = 94110432. Its totient is φ = 32576616.

The previous prime is 57009133. The next prime is 57009149. The reversal of 57009141 is 14190075.

57009141 is a `hidden beast` number, since 570 + 0 + 91 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (57009133) and next prime (57009149).

It is not a de Polignac number, because 57009141 - 23 = 57009133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57009149) 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 11 ways as a sum of consecutive naturals, for example, 452391 + ... + 452516.

It is an arithmetic number, because the mean of its divisors is an integer number (7842536).

Almost surely, 257009141 is an apocalyptic number.

It is an amenable number.

57009141 is a deficient number, since it is larger than the sum of its proper divisors (37101291).

57009141 is a wasteful number, since it uses less digits than its factorization.

57009141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904920 (or 904917 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 57009141 is about 7550.4397885156. The cubic root of 57009141 is about 384.8706846297.

It can be divided in two parts, 5700 and 9141, that added together give a palindrome (14841).

The spelling of 57009141 in words is "fifty-seven million, nine thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 904907 2714721 6334349 8144163 19003047 57009141