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52725800 = 23521132333
BaseRepresentation
bin1100100100100…
…0100000101000
310200012202012102
43021020200220
5101444211200
65122032532
71210106351
oct311104050
9120182172
1052725800
1127842746
12157a8748
13ac00cca
147006d28
1549676d5
hex3248828

52725800 has 48 divisors (see below), whose sum is σ = 123725340. Its totient is φ = 20894720.

The previous prime is 52725793. The next prime is 52725809. The reversal of 52725800 is 852725.

It can be written as a sum of positive squares in 6 ways, for example, as 2910436 + 49815364 = 1706^2 + 7058^2 .

It is not an unprimeable number, because it can be changed into a prime (52725809) 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, 21434 + ... + 23766.

Almost surely, 252725800 is an apocalyptic number.

52725800 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 52725800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61862670).

52725800 is an abundant number, since it is smaller than the sum of its proper divisors (70999540).

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

52725800 is a wasteful number, since it uses less digits than its factorization.

52725800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 52725800 is about 7261.2533353409. The cubic root of 52725800 is about 374.9796729723.

The spelling of 52725800 in words is "fifty-two million, seven hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2333 2825 4520 4666 5650 9332 11300 11665 18664 22600 23330 46660 58325 93320 116650 233300 263629 466600 527258 1054516 1318145 2109032 2636290 5272580 6590725 10545160 13181450 26362900 52725800