Search a number
-
+
5250777824 = 25232313991
BaseRepresentation
bin1001110001111100…
…01000001011100000
3111112221021011001202
410320332020023200
541223144342244
62225010220332
7244055606105
oct47076101340
914487234052
105250777824
112254a22106
1210265846a8
13658ab4336
1437b500aac
1520ae9104e
hex138f882e0

5250777824 has 72 divisors (see below), whose sum is σ = 10851930432. Its totient is φ = 2500692480.

The previous prime is 5250777797. The next prime is 5250777881. The reversal of 5250777824 is 4287770525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5297969 + ... + 5298959.

It is an arithmetic number, because the mean of its divisors is an integer number (150721256).

Almost surely, 25250777824 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 5250777824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425965216).

5250777824 is an abundant number, since it is smaller than the sum of its proper divisors (5601152608).

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

5250777824 is a wasteful number, since it uses less digits than its factorization.

5250777824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 47.

The square root of 5250777824 is about 72462.2510276903. The cubic root of 5250777824 is about 1738.0991511237.

The spelling of 5250777824 in words is "five billion, two hundred fifty million, seven hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 313 368 529 626 736 991 1058 1252 1982 2116 2504 3964 4232 5008 7199 7928 8464 10016 14398 15856 16928 22793 28796 31712 45586 57592 91172 115184 165577 182344 230368 310183 331154 364688 524239 620366 662308 729376 1048478 1240732 1324616 2096956 2481464 2649232 4193912 4962928 5298464 7134209 8387824 9925856 14268418 16775648 28536836 57073672 114147344 164086807 228294688 328173614 656347228 1312694456 2625388912 5250777824