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5858900 = 2252411429
BaseRepresentation
bin10110010110011001010100
3102000122220022
4112112121110
52444441100
6325324312
7100541225
oct26263124
912018808
105858900
113341973
121b66698
1312a1a08
14ac724c
157aae85
hex596654

5858900 has 36 divisors (see below), whose sum is σ = 13033020. Its totient is φ = 2284800.

The previous prime is 5858873. The next prime is 5858911. The reversal of 5858900 is 98585.

It can be written as a sum of positive squares in 6 ways, for example, as 2347024 + 3511876 = 1532^2 + 1874^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 3386 + ... + 4814.

Almost surely, 25858900 is an apocalyptic number.

5858900 is a gapful number since it is divisible by the number (50) 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 5858900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516510).

5858900 is an abundant number, since it is smaller than the sum of its proper divisors (7174120).

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

5858900 is a wasteful number, since it uses less digits than its factorization.

5858900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 5858900 is about 2420.5164738130. The cubic root of 5858900 is about 180.2763245582.

The spelling of 5858900 in words is "five million, eight hundred fifty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1429 2050 2858 4100 5716 7145 14290 28580 35725 58589 71450 117178 142900 234356 292945 585890 1171780 1464725 2929450 5858900