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57416121 = 347131773
BaseRepresentation
bin1101101100000…
…1100110111001
311000001001010000
43123001212321
5104144303441
65410343213
71265012640
oct333014671
9130031100
1057416121
112a456644
121728ab09
13bb83b49
1478a8357
1550922b6
hex36c19b9

57416121 has 40 divisors (see below), whose sum is σ = 98898624. Its totient is φ = 32516640.

The previous prime is 57416111. The next prime is 57416131. The reversal of 57416121 is 12161475.

It is a happy number.

57416121 is a `hidden beast` number, since 5 + 7 + 41 + 612 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (57416111) and next prime (57416131).

It is not a de Polignac number, because 57416121 - 27 = 57415993 is a prime.

It is a super-2 number, since 2×574161212 = 6593221901373282, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57416101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73891 + ... + 74663.

Almost surely, 257416121 is an apocalyptic number.

It is an amenable number.

57416121 is a deficient number, since it is larger than the sum of its proper divisors (41482503).

57416121 is a wasteful number, since it uses less digits than its factorization.

57416121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 914 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 57416121 is about 7577.3426080652. The cubic root of 57416121 is about 385.7843592265.

Adding to 57416121 its reverse (12161475), we get a palindrome (69577596).

The spelling of 57416121 in words is "fifty-seven million, four hundred sixteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 131 189 393 567 773 917 1179 2319 2751 3537 5411 6957 8253 10611 16233 20871 24759 48699 62613 74277 101263 146097 303789 438291 708841 911367 2126523 2734101 6379569 8202303 19138707 57416121