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52854800 = 2452132137
BaseRepresentation
bin1100100110100…
…0000000010000
310200110022011012
43021220000100
5102012323200
65124510052
71211154425
oct311500020
9120408135
1052854800
1127920659
121584b328
13ac4793b
14703bd4c
154990a35
hex3268010

52854800 has 30 divisors (see below), whose sum is σ = 126984618. Its totient is φ = 21141760.

The previous prime is 52854799. The next prime is 52854817. The reversal of 52854800 is 845825.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 52823824 = 176^2 + 7268^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65669 + ... + 66468.

Almost surely, 252854800 is an apocalyptic number.

52854800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52854800 is an abundant number, since it is smaller than the sum of its proper divisors (74129818).

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

52854800 is a wasteful number, since it uses less digits than its factorization.

52854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132155 (or 132144 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 52854800 is about 7270.1306728284. The cubic root of 52854800 is about 375.2852348397.

The spelling of 52854800 in words is "fifty-two million, eight hundred fifty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 132137 264274 528548 660685 1057096 1321370 2114192 2642740 3303425 5285480 6606850 10570960 13213700 26427400 52854800