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2052500 = 2254821
BaseRepresentation
bin111110101000110010100
310212021111112
413311012110
51011140000
6111554152
723305652
oct7650624
93767445
102052500
11118208a
1282b958
1356b2c8
143b5dd2
152a8235
hex1f5194

2052500 has 30 divisors (see below), whose sum is σ = 4493874. Its totient is φ = 820000.

The previous prime is 2052493. The next prime is 2052503. The reversal of 2052500 is 52502.

It can be written as a sum of positive squares in 5 ways, for example, as 1044484 + 1008016 = 1022^2 + 1004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2090 + ... + 2910.

22052500 is an apocalyptic number.

2052500 is a gapful number since it is divisible by the number (20) 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 2052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246937).

2052500 is an abundant number, since it is smaller than the sum of its proper divisors (2441374).

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

2052500 is an equidigital number, since it uses as much as digits as its factorization.

2052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2052500 is about 1432.6548781894. The cubic root of 2052500 is about 127.0850278970.

It can be divided in two parts, 2052 and 500, that added together give a palindrome (2552).

The spelling of 2052500 in words is "two million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 821 1250 1642 2500 3284 4105 8210 16420 20525 41050 82100 102625 205250 410500 513125 1026250 2052500