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5250211200 = 2732521337379
BaseRepresentation
bin1001110001110111…
…11101110110000000
3111112220012100210200
410320323331312000
541223023224300
62224550125200
7244051026123
oct47073756600
914486170720
105250211200
112254675423
121026350800
13658946460
1437b3d43ba
1520adcd200
hex138efdd80

5250211200 has 576 divisors, whose sum is σ = 20774972400. Its totient is φ = 1254113280.

The previous prime is 5250211177. The next prime is 5250211207. The reversal of 5250211200 is 21120525.

5250211200 is a `hidden beast` number, since 5 + 250 + 211 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5250211207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13852611 + ... + 13852989.

Almost surely, 25250211200 is an apocalyptic number.

5250211200 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 5250211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387486200).

5250211200 is an abundant number, since it is smaller than the sum of its proper divisors (15524761200).

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

5250211200 is a wasteful number, since it uses less digits than its factorization.

5250211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5250211200 is about 72458.3411347514. The cubic root of 5250211200 is about 1738.0366280617.

Adding to 5250211200 its reverse (21120525), we get a palindrome (5271331725).

The spelling of 5250211200 in words is "five billion, two hundred fifty million, two hundred eleven thousand, two hundred".