Search a number
-
+
538048368 = 24321113172953
BaseRepresentation
bin100000000100011…
…111011101110000
31101111102200121100
4200010133131300
52100220021433
6125220124400
716222223064
oct4004373560
91344380540
10538048368
11256794780
12130236700
1387617520
145165baa4
1532381b13
hex2011f770

538048368 has 480 divisors, whose sum is σ = 1974248640. Its totient is φ = 134184960.

The previous prime is 538048367. The next prime is 538048409. The reversal of 538048368 is 863840835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538048363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10151830 + ... + 10151882.

It is an arithmetic number, because the mean of its divisors is an integer number (4113018).

Almost surely, 2538048368 is an apocalyptic number.

538048368 is a gapful number since it is divisible by the number (58) 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 538048368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987124320).

538048368 is an abundant number, since it is smaller than the sum of its proper divisors (1436200272).

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

538048368 is a wasteful number, since it uses less digits than its factorization.

538048368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 538048368 is about 23195.8696323289. The cubic root of 538048368 is about 813.3430740271.

The spelling of 538048368 in words is "five hundred thirty-eight million, forty-eight thousand, three hundred sixty-eight".