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5286100 = 225252861
BaseRepresentation
bin10100001010100011010100
3100221120011111
4110022203110
52323123400
6305144404
762634241
oct24124324
910846144
105286100
112a90586
12192b104
131131091
149b85c8
156e63ba
hex50a8d4

5286100 has 18 divisors (see below), whose sum is σ = 11471054. Its totient is φ = 2114400.

The previous prime is 5286053. The next prime is 5286109. The reversal of 5286100 is 16825.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 568516 + 4717584 = 754^2 + 2172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26331 + ... + 26530.

Almost surely, 25286100 is an apocalyptic number.

5286100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5286100 is an abundant number, since it is smaller than the sum of its proper divisors (6184954).

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

5286100 is a wasteful number, since it uses less digits than its factorization.

5286100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52875 (or 52868 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 5286100 is about 2299.1520175926. The cubic root of 5286100 is about 174.1987863301.

The spelling of 5286100 in words is "five million, two hundred eighty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 52861 105722 211444 264305 528610 1057220 1321525 2643050 5286100