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532900 = 2252732
BaseRepresentation
bin10000010000110100100
31000002000001
42002012210
5114023100
615231044
74346434
oct2020644
91002001
10532900
11334415
12218484
13158734
14dc2c4
15a7d6a
hex821a4

532900 has 27 divisors (see below), whose sum is σ = 1172451. Its totient is φ = 210240.

The previous prime is 532867. The next prime is 532907. The reversal of 532900 is 9235.

The square root of 532900 is 730.

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

532900 is nontrivially palindromic in base 3, base 7 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 529984 = 54^2 + 728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (532907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7264 + ... + 7336.

532900 is a Friedman number, since it can be written as (9^3+5^(0+0))^2, using all its digits and the basic arithmetic operations.

2532900 is an apocalyptic number.

532900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532900 is the 730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532900

532900 is an abundant number, since it is smaller than the sum of its proper divisors (639551).

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

532900 is a wasteful number, since it uses less digits than its factorization.

532900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The cubic root of 532900 is about 81.0740571493.

The spelling of 532900 in words is "five hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 5329 7300 10658 21316 26645 53290 106580 133225 266450 532900