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5857152 = 27372179
BaseRepresentation
bin10110010101111110000000
3102000120111120
4112111332000
52444412102
6325312240
7100533150
oct26257600
912016446
105857152
113340624
121b65680
1312a0c92
14ac6760
157aa6bc
hex595f80

5857152 has 64 divisors (see below), whose sum is σ = 17788800. Its totient is φ = 1672704.

The previous prime is 5857147. The next prime is 5857177. The reversal of 5857152 is 2517585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×58571522 = 68612459102208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1599 + ... + 3777.

It is an arithmetic number, because the mean of its divisors is an integer number (277950).

Almost surely, 25857152 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 5857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8894400).

5857152 is an abundant number, since it is smaller than the sum of its proper divisors (11931648).

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

5857152 is a wasteful number, since it uses less digits than its factorization.

5857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2191 counting only the distinct ones).

The product of its digits is 14000, while the sum is 33.

The square root of 5857152 is about 2420.1553669135. The cubic root of 5857152 is about 180.2583943233.

The spelling of 5857152 in words is "five million, eight hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2179 2688 4358 6537 8716 13074 15253 17432 26148 30506 34864 45759 52296 61012 69728 91518 104592 122024 139456 183036 209184 244048 278912 366072 418368 488096 732144 836736 976192 1464288 1952384 2928576 5857152