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857149317 = 33291995501
BaseRepresentation
bin110011000101110…
…000111110000101
32012201212200211000
4303011300332011
53223412234232
6221015403513
730145435413
oct6305607605
92181780730
10857149317
113aa924a72
121bb083599
1310877245b
1481ba42b3
15503b527c
hex33170f85

857149317 has 32 divisors (see below), whose sum is σ = 1320480000. Its totient is φ = 548856000.

The previous prime is 857149313. The next prime is 857149343. The reversal of 857149317 is 713941758.

857149317 is a `hidden beast` number, since 8 + 571 + 49 + 31 + 7 = 666.

857149317 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 857149317 - 22 = 857149313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857149313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153067 + ... + 158567.

It is an arithmetic number, because the mean of its divisors is an integer number (41265000).

Almost surely, 2857149317 is an apocalyptic number.

857149317 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

857149317 is a deficient number, since it is larger than the sum of its proper divisors (463330683).

857149317 is a wasteful number, since it uses less digits than its factorization.

857149317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5732 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 857149317 is about 29277.1125113116. The cubic root of 857149317 is about 949.9166379299.

The spelling of 857149317 in words is "eight hundred fifty-seven million, one hundred forty-nine thousand, three hundred seventeen".

Divisors: 1 3 9 27 29 87 199 261 597 783 1791 5373 5501 5771 16503 17313 49509 51939 148527 155817 159529 478587 1094699 1435761 3284097 4307283 9852291 29556873 31746271 95238813 285716439 857149317