Search a number
-
+
5754888000 = 26345383107
BaseRepresentation
bin1010101110000010…
…01001111101000000
3112212001211121020000
411113001021331000
543241222404000
62351015120000
7262416512061
oct52701117500
915761747200
105754888000
112493536594
121147373000
13709378194
143c8446568
1523a36c000
hex157049f40

5754888000 has 560 divisors, whose sum is σ = 21747870144. Its totient is φ = 1501977600.

The previous prime is 5754887959. The next prime is 5754888001. The reversal of 5754888000 is 8884575.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754888001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53783947 + ... + 53784053.

Almost surely, 25754888000 is an apocalyptic number.

5754888000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5754888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873935072).

5754888000 is an abundant number, since it is smaller than the sum of its proper divisors (15992982144).

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

5754888000 is a wasteful number, since it uses less digits than its factorization.

5754888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 5754888000 is about 75860.9781112793. The cubic root of 5754888000 is about 1792.0314421035.

The spelling of 5754888000 in words is "five billion, seven hundred fifty-four million, eight hundred eighty-eight thousand".