Search a number
-
+
5750052000 = 253537311127
BaseRepresentation
bin1010101101011101…
…01101010010100000
3112211201201220110220
411112232231102200
543234003131000
62350323323040
7262330431000
oct52656552240
915751656426
105750052000
1124908331a0
121145820480
13708373c44
143c7948000
15239c141a0
hex156bad4a0

5750052000 has 768 divisors, whose sum is σ = 24153292800. Its totient is φ = 1185408000.

The previous prime is 5750051999. The next prime is 5750052041. The reversal of 5750052000 is 2500575.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45275937 + ... + 45276063.

It is an arithmetic number, because the mean of its divisors is an integer number (31449600).

Almost surely, 25750052000 is an apocalyptic number.

5750052000 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 5750052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12076646400).

5750052000 is an abundant number, since it is smaller than the sum of its proper divisors (18403240800).

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

5750052000 is a wasteful number, since it uses less digits than its factorization.

5750052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 5750052000 is about 75829.0973175865. The cubic root of 5750052000 is about 1791.5293360276.

Adding to 5750052000 its reverse (2500575), we get a palindrome (5752552575).

The spelling of 5750052000 in words is "five billion, seven hundred fifty million, fifty-two thousand".