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5512900 = 2252291901
BaseRepresentation
bin10101000001111011000100
3101101002021111
4111001323010
52402403100
6314054404
764600411
oct25017304
911332244
105512900
113125a18
121a1a404
1311b0393
14a37108
1573d6ba
hex541ec4

5512900 has 36 divisors (see below), whose sum is σ = 12382020. Its totient is φ = 2128000.

The previous prime is 5512877. The next prime is 5512909. The reversal of 5512900 is 92155.

It can be written as a sum of positive squares in 6 ways, for example, as 743044 + 4769856 = 862^2 + 2184^2 .

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5512909) 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, 1950 + ... + 3850.

It is an arithmetic number, because the mean of its divisors is an integer number (343945).

Almost surely, 25512900 is an apocalyptic number.

5512900 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 5512900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191010).

5512900 is an abundant number, since it is smaller than the sum of its proper divisors (6869120).

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

5512900 is a wasteful number, since it uses less digits than its factorization.

5512900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 5512900 is about 2347.9565583716. The cubic root of 5512900 is about 176.6553135381.

The spelling of 5512900 in words is "five million, five hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 1901 2900 3802 7604 9505 19010 38020 47525 55129 95050 110258 190100 220516 275645 551290 1102580 1378225 2756450 5512900