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5857164 = 2233193281
BaseRepresentation
bin10110010101111110001100
3102000120112000
4112111332030
52444412124
6325312300
7100533165
oct26257614
912016460
105857164
113340635
121b65690
1312a0ca1
14ac676c
157aa6c9
hex595f8c

5857164 has 48 divisors (see below), whose sum is σ = 15318240. Its totient is φ = 1935360.

The previous prime is 5857147. The next prime is 5857177. The reversal of 5857164 is 4617585.

5857164 is a `hidden beast` number, since 585 + 71 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20704 + ... + 20984.

It is an arithmetic number, because the mean of its divisors is an integer number (319130).

Almost surely, 25857164 is an apocalyptic number.

5857164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5857164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659120).

5857164 is an abundant number, since it is smaller than the sum of its proper divisors (9461076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5857164 is a wasteful number, since it uses less digits than its factorization.

5857164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 5857164 is about 2420.1578460919. The cubic root of 5857164 is about 180.2585174264.

The spelling of 5857164 in words is "five million, eight hundred fifty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 281 386 562 579 772 843 1124 1158 1686 1737 2316 2529 3372 3474 5058 5211 6948 7587 10116 10422 15174 20844 30348 54233 108466 162699 216932 325398 488097 650796 976194 1464291 1952388 2928582 5857164