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55204900 = 22527432
BaseRepresentation
bin1101001010010…
…1110000100100
310211212200212221
43102211300210
5103113024100
65251122124
71240143142
oct322456044
9124780787
1055204900
1129186293
12165a3344
13b58b52a
147490592
154ca701a
hex34a5c24

55204900 has 27 divisors (see below), whose sum is σ = 119956081. Its totient is φ = 22052240.

The previous prime is 55204889. The next prime is 55204913. The reversal of 55204900 is 940255.

The square root of 55204900 is 7430.

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

It can be written as a sum of positive squares in only one way, i.e., 19873764 + 35331136 = 4458^2 + 5944^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 73929 + ... + 74671.

Almost surely, 255204900 is an apocalyptic number.

55204900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55204900 is the 7430-th square number.

It is an amenable number.

55204900 is an abundant number, since it is smaller than the sum of its proper divisors (64751181).

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

55204900 is an equidigital number, since it uses as much as digits as its factorization.

55204900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The cubic root of 55204900 is about 380.7669183799.

Multiplying 55204900 by its sum of digits (25), we get a square (1380122500 = 371502).

55204900 divided by its sum of digits (25) gives a square (2208196 = 14862).

The spelling of 55204900 in words is "fifty-five million, two hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 743 1486 2972 3715 7430 14860 18575 37150 74300 552049 1104098 2208196 2760245 5520490 11040980 13801225 27602450 55204900