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5104104400 = 245229440009
BaseRepresentation
bin1001100000011101…
…00111001111010000
3111011201021100221201
410300032213033100
540423122320100
62202250400544
7240325112563
oct46016471720
914151240851
105104104400
11218a1521aa
12ba5430154
136345ab625
14365c404da
151ed16c36a
hex1303a73d0

5104104400 has 60 divisors (see below), whose sum is σ = 12685488300. Its totient is φ = 1971235840.

The previous prime is 5104104389. The next prime is 5104104403. The reversal of 5104104400 is 44014015.

It can be written as a sum of positive squares in 6 ways, for example, as 128777104 + 4975327296 = 11348^2 + 70536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104104403) 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, 208405 + ... + 231604.

It is an arithmetic number, because the mean of its divisors is an integer number (211424805).

Almost surely, 25104104400 is an apocalyptic number.

5104104400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5104104400 is an abundant number, since it is smaller than the sum of its proper divisors (7581383900).

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

5104104400 is a wasteful number, since it uses less digits than its factorization.

5104104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440056 (or 440045 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5104104400 is about 71443.0150539575. The cubic root of 5104104400 is about 1721.7622554892.

Adding to 5104104400 its reverse (44014015), we get a palindrome (5148118415).

The spelling of 5104104400 in words is "five billion, one hundred four million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 440009 880018 1760036 2200045 3520072 4400090 7040144 8800180 11000225 12760261 17600360 22000450 25520522 35200720 44000900 51041044 63801305 88001800 102082088 127602610 176003600 204164176 255205220 319006525 510410440 638013050 1020820880 1276026100 2552052200 5104104400