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5750084340 = 223257211134797
BaseRepresentation
bin1010101101011101…
…10101001011110100
3112211201210112211200
411112232311023310
543234010144330
62350324132500
7262330624200
oct52656651364
915751715750
105750084340
112490855520
121145837130
13708385890
143c7955b00
15239c1da60
hex156bb52f4

5750084340 has 864 divisors, whose sum is σ = 24594845184. Its totient is φ = 1068318720.

The previous prime is 5750084339. The next prime is 5750084357. The reversal of 5750084340 is 434800575.

5750084340 is a `hidden beast` number, since 575 + 0 + 0 + 8 + 43 + 40 = 666.

It is a super-2 number, since 2×57500843402 = 66126939834226471200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5750084295 and 5750084304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59279172 + ... + 59279268.

It is an arithmetic number, because the mean of its divisors is an integer number (28466256).

Almost surely, 25750084340 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 5750084340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297422592).

5750084340 is an abundant number, since it is smaller than the sum of its proper divisors (18844760844).

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

5750084340 is a wasteful number, since it uses less digits than its factorization.

5750084340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5750084340 is about 75829.3105599675. The cubic root of 5750084340 is about 1791.5326947190.

The spelling of 5750084340 in words is "five billion, seven hundred fifty million, eighty-four thousand, three hundred forty".