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5219539200 = 28325290617
BaseRepresentation
bin1001101110001101…
…11101100100000000
3111110202111001201200
410313012331210000
541142200223300
62221532501200
7243226231311
oct46706754400
914422431650
105219539200
112239326067
12101801a800
13652497645
143772cc608
15208370200
hex1371bd900

5219539200 has 162 divisors, whose sum is σ = 18661236594. Its totient is φ = 1391861760.

The previous prime is 5219539181. The next prime is 5219539217. The reversal of 5219539200 is 29359125.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1812715776 + 3406823424 = 42576^2 + 58368^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12292 + ... + 102908.

Almost surely, 25219539200 is an apocalyptic number.

5219539200 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 5219539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330618297).

5219539200 is an abundant number, since it is smaller than the sum of its proper divisors (13441697394).

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

5219539200 is a wasteful number, since it uses less digits than its factorization.

5219539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90649 (or 90627 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5219539200 is about 72246.3784559475. The cubic root of 5219539200 is about 1734.6454496198.

The spelling of 5219539200 in words is "five billion, two hundred nineteen million, five hundred thirty-nine thousand, two hundred".