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57008217 = 372794909
BaseRepresentation
bin1101100101111…
…0000001011001
310222021022120110
43121132001121
5104043230332
65353514533
71261363500
oct331360131
9128238513
1057008217
112a1a8132
1217112a49
13ba70296
1477dd837
1550114cc
hex365e059

57008217 has 24 divisors (see below), whose sum is σ = 89558400. Its totient is φ = 32157216.

The previous prime is 57008213. The next prime is 57008251. The reversal of 57008217 is 71280075.

It is a happy number.

57008217 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 57008217 - 22 = 57008213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57008213) 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 23 ways as a sum of consecutive naturals, for example, 9159 + ... + 14067.

It is an arithmetic number, because the mean of its divisors is an integer number (3731600).

Almost surely, 257008217 is an apocalyptic number.

It is an amenable number.

57008217 is a deficient number, since it is larger than the sum of its proper divisors (32550183).

57008217 is a wasteful number, since it uses less digits than its factorization.

57008217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 57008217 is about 7550.3785997790. The cubic root of 57008217 is about 384.8686052998.

The spelling of 57008217 in words is "fifty-seven million, eight thousand, two hundred seventeen".

Divisors: 1 3 7 21 49 79 147 237 553 1659 3871 4909 11613 14727 34363 103089 240541 387811 721623 1163433 2714677 8144031 19002739 57008217