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5504800 = 25527983
BaseRepresentation
bin10100111111111100100000
3101100200011111
4110333330200
52402123200
6313553104
764534660
oct24777440
911320144
105504800
11311a924
121a15794
1311a97a2
14a341a0
1573b0ba
hex53ff20

5504800 has 72 divisors (see below), whose sum is σ = 15374016. Its totient is φ = 1885440.

The previous prime is 5504791. The next prime is 5504839. The reversal of 5504800 is 84055.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5109 + ... + 6091.

It is an arithmetic number, because the mean of its divisors is an integer number (213528).

Almost surely, 25504800 is an apocalyptic number.

5504800 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 5504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687008).

5504800 is an abundant number, since it is smaller than the sum of its proper divisors (9869216).

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

5504800 is a wasteful number, since it uses less digits than its factorization.

5504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5504800 is about 2346.2310201683. The cubic root of 5504800 is about 176.5687523564.

Adding to 5504800 its reverse (84055), we get a palindrome (5588855).

The spelling of 5504800 in words is "five million, five hundred four thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 983 1120 1400 1966 2800 3932 4915 5600 6881 7864 9830 13762 15728 19660 24575 27524 31456 34405 39320 49150 55048 68810 78640 98300 110096 137620 157280 172025 196600 220192 275240 344050 393200 550480 688100 786400 1100960 1376200 2752400 5504800