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5235800 = 235247557
BaseRepresentation
bin10011111110010001011000
3100212000011112
4103332101120
52320021200
6304115452
762334503
oct23762130
910760145
105235800
112a56809
121905b88
13111420b
149a413a
156d6535
hex4fe458

5235800 has 48 divisors (see below), whose sum is σ = 12454560. Its totient is φ = 2046080.

The previous prime is 5235761. The next prime is 5235803. The reversal of 5235800 is 85325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235803) 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, 9122 + ... + 9678.

It is an arithmetic number, because the mean of its divisors is an integer number (259470).

Almost surely, 25235800 is an apocalyptic number.

5235800 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 5235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227280).

5235800 is an abundant number, since it is smaller than the sum of its proper divisors (7218760).

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

5235800 is a wasteful number, since it uses less digits than its factorization.

5235800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5235800 is about 2288.1870552907. The cubic root of 5235800 is about 173.6444936814.

The spelling of 5235800 in words is "five million, two hundred thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 557 940 1114 1175 1880 2228 2350 2785 4456 4700 5570 9400 11140 13925 22280 26179 27850 52358 55700 104716 111400 130895 209432 261790 523580 654475 1047160 1308950 2617900 5235800