Search a number
-
+
5749238880 = 25325711192729
BaseRepresentation
bin1010101101010111…
…00110110001100000
3112211200012121002100
411112223212301200
543233301121010
62350254050400
7262320503250
oct52653466140
915750177070
105749238880
1124903282a0
1211454a9a00
1370814aac8
143c77b5960
15239b032c0
hex156ae6c60

5749238880 has 576 divisors, whose sum is σ = 25757222400. Its totient is φ = 1131356160.

The previous prime is 5749238879. The next prime is 5749238897. The reversal of 5749238880 is 888329475.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2105356 + ... + 2108084.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 25749238880 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 5749238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878611200).

5749238880 is an abundant number, since it is smaller than the sum of its proper divisors (20007983520).

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

5749238880 is a wasteful number, since it uses less digits than its factorization.

5749238880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5749238880 is about 75823.7355977665. The cubic root of 5749238880 is about 1791.4448847911. Note that the first 3 decimals are identical.

The spelling of 5749238880 in words is "five billion, seven hundred forty-nine million, two hundred thirty-eight thousand, eight hundred eighty".