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5259472200 = 2332522921929
BaseRepresentation
bin1001110010111110…
…10010110101001000
3111120112121212111200
410321133102311020
541232411102300
62225520424200
7244222530123
oct47137226510
914515555450
105259472200
112259920344
121029478060
1365a839838
1437c7253ba
1520bb0c200
hex1397d2d48

5259472200 has 72 divisors (see below), whose sum is σ = 17663066850. Its totient is φ = 1402525440.

The previous prime is 5259472157. The next prime is 5259472217. The reversal of 5259472200 is 22749525.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3680363556 + 1579108644 = 60666^2 + 39738^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1459165 + ... + 1462764.

Almost surely, 25259472200 is an apocalyptic number.

5259472200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5259472200 is an abundant number, since it is smaller than the sum of its proper divisors (12403594650).

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

5259472200 is a wasteful number, since it uses less digits than its factorization.

5259472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921951 (or 2921939 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5259472200 is about 72522.2186643514. The cubic root of 5259472200 is about 1739.0579522092.

The spelling of 5259472200 in words is "five billion, two hundred fifty-nine million, four hundred seventy-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2921929 5843858 8765787 11687716 14609645 17531574 23375432 26297361 29219290 35063148 43828935 52594722 58438580 70126296 73048225 87657870 105189444 116877160 131486805 146096450 175315740 210378888 219144675 262973610 292192900 350631480 438289350 525947220 584385800 657434025 876578700 1051894440 1314868050 1753157400 2629736100 5259472200