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5872356 = 2232723329
BaseRepresentation
bin10110011001101011100100
3102001100100200
4112121223210
53000403411
6325510500
7100625400
oct26315344
912040320
105872356
113350a96
121b72430
1312a7b89
14acc100
157aee56
hex599ae4

5872356 has 54 divisors (see below), whose sum is σ = 17272710. Its totient is φ = 1677312.

The previous prime is 5872343. The next prime is 5872357. The reversal of 5872356 is 6532785.

5872356 is a `hidden beast` number, since 587 + 23 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4769856 + 1102500 = 2184^2 + 1050^2 .

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

It is a d-powerful number, because it can be written as 55 + 85 + 78 + 213 + 310 + 55 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 5872356.

It is not an unprimeable number, because it can be changed into a prime (5872357) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (319865).

Almost surely, 25872356 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 5872356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636355).

5872356 is an abundant number, since it is smaller than the sum of its proper divisors (11400354).

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

5872356 is a wasteful number, since it uses less digits than its factorization.

5872356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3341 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5872356 is about 2423.2944517743. The cubic root of 5872356 is about 180.4142311902.

The spelling of 5872356 in words is "five million, eight hundred seventy-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3329 6658 9987 13316 19974 23303 29961 39948 46606 59922 69909 93212 119844 139818 163121 209727 279636 326242 419454 489363 652484 838908 978726 1468089 1957452 2936178 5872356