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5249871360 = 29335151503
BaseRepresentation
bin1001110001110101…
…01010111000000000
3111112212120002122000
410320322222320000
541222431340420
62224534544000
7244045112256
oct47072527000
914485502560
105249871360
112254463068
121026208000
13658857876
1437b3465d6
1520ad62690
hex138eaae00

5249871360 has 320 divisors, whose sum is σ = 18808796160. Its totient is φ = 1387929600.

The previous prime is 5249871353. The next prime is 5249871409. The reversal of 5249871360 is 631789425.

5249871360 is a `hidden beast` number, since 524 + 98 + 7 + 1 + 36 + 0 = 666.

5249871360 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×52498713602 = 55122298593096499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

5249871360 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10436869 + ... + 10437371.

It is an arithmetic number, because the mean of its divisors is an integer number (58777488).

It is a 1-persistent number, because it is pandigital, but 2⋅5249871360 = 10499742720 is not.

Almost surely, 25249871360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5249871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404398080).

5249871360 is an abundant number, since it is smaller than the sum of its proper divisors (13558924800).

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

5249871360 is a wasteful number, since it uses less digits than its factorization.

5249871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5249871360 is about 72455.9960251738. The cubic root of 5249871360 is about 1737.9991268966. Note that the first 3 decimals are identical.

The spelling of 5249871360 in words is "five billion, two hundred forty-nine million, eight hundred seventy-one thousand, three hundred sixty".