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52900 = 2252232
BaseRepresentation
bin1100111010100100
32200120021
430322210
53143100
61044524
7310141
oct147244
980507
1052900
1136821
1226744
131b103
14153c8
1510a1a
hexcea4

52900 has 27 divisors (see below), whose sum is σ = 120001. Its totient is φ = 20240.

The previous prime is 52889. The next prime is 52901. The reversal of 52900 is 925.

Multipling 52900 by its sum of digits (16), we get a square (846400 = 9202).

52900 = T56 + T57 + ... + T78.

The square root of 52900 is 230.

It is a perfect power (a square), and thus also a powerful number.

52900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 33856 = 138^2 + 184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52901) by changing a digit.

52900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2289 + ... + 2311.

252900 is an apocalyptic number.

52900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52900 is the 230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52900

52900 is an abundant number, since it is smaller than the sum of its proper divisors (67101).

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

52900 is a wasteful number, since it uses less digits than its factorization.

52900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The cubic root of 52900 is about 37.5392182298.

The spelling of 52900 in words is "fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2645 5290 10580 13225 26450 52900