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5857368 = 2331122017
BaseRepresentation
bin10110010110000001011000
3102000120210120
4112112001120
52444413433
6325313240
7100533606
oct26260130
912016716
105857368
113340800
121b65820
1312a10ca
14ac6876
157aa7b3
hex596058

5857368 has 48 divisors (see below), whose sum is σ = 16103640. Its totient is φ = 1774080.

The previous prime is 5857361. The next prime is 5857381. The reversal of 5857368 is 8637585.

It is a d-powerful number, because it can be written as 52 + 82 + 54 + 78 + 310 + 62 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5857361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896 + ... + 3912.

Almost surely, 25857368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5857368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051820).

5857368 is an abundant number, since it is smaller than the sum of its proper divisors (10246272).

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

5857368 is a wasteful number, since it uses less digits than its factorization.

5857368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2033 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 5857368 is about 2420.1999917362. The cubic root of 5857368 is about 180.2606101519.

The spelling of 5857368 in words is "five million, eight hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2017 2904 4034 6051 8068 12102 16136 22187 24204 44374 48408 66561 88748 133122 177496 244057 266244 488114 532488 732171 976228 1464342 1952456 2928684 5857368