Search a number
-
+
5214057728 = 281110916987
BaseRepresentation
bin1001101101100100…
…00011010100000000
3111110101011120120012
410312302003110000
541134244321403
62221215204052
7243131521325
oct46662032400
914411146505
105214057728
112236221820
121016216628
136512c8679
143766a2b4c
15207b3aed8
hex136c83500

5214057728 has 72 divisors (see below), whose sum is σ = 11458745760. Its totient is φ = 2348144640.

The previous prime is 5214057721. The next prime is 5214057731. The reversal of 5214057728 is 8277504125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214057721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298451 + ... + 315437.

Almost surely, 25214057728 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 5214057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729372880).

5214057728 is an abundant number, since it is smaller than the sum of its proper divisors (6244688032).

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

5214057728 is a wasteful number, since it uses less digits than its factorization.

5214057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17123 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 41.

The square root of 5214057728 is about 72208.4325269563. The cubic root of 5214057728 is about 1734.0380051331.

The spelling of 5214057728 in words is "five billion, two hundred fourteen million, fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 256 352 436 704 872 1199 1408 1744 2398 2816 3488 4796 6976 9592 13952 16987 19184 27904 33974 38368 67948 76736 135896 153472 186857 271792 306944 373714 543584 747428 1087168 1494856 1851583 2174336 2989712 3703166 4348672 5979424 7406332 11958848 14812664 20367413 23917696 29625328 40734826 47835392 59250656 81469652 118501312 162939304 237002624 325878608 474005248 651757216 1303514432 2607028864 5214057728