Search a number
-
+
5097879072 = 25331141331
BaseRepresentation
bin1001011111101101…
…10111011000100000
3111011021120002102000
410233312313120200
540420024112242
62201505124000
7240221154126
oct45766673040
914137502360
105097879072
112186690000
12ba3329600
1363320bbc0
1436509d916
151ec83ca4c
hex12fdb7620

5097879072 has 480 divisors, whose sum is σ = 18181900800. Its totient is φ = 1379980800.

The previous prime is 5097879047. The next prime is 5097879077. The reversal of 5097879072 is 2709787905.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5097879077) 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, 164447697 + ... + 164447727.

It is an arithmetic number, because the mean of its divisors is an integer number (37878960).

Almost surely, 25097879072 is an apocalyptic number.

5097879072 is a gapful number since it is divisible by the number (52) 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 5097879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090950400).

5097879072 is an abundant number, since it is smaller than the sum of its proper divisors (13084021728).

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

5097879072 is a wasteful number, since it uses less digits than its factorization.

5097879072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 5097879072 is about 71399.4332750618. The cubic root of 5097879072 is about 1721.0619762245.

The spelling of 5097879072 in words is "five billion, ninety-seven million, eight hundred seventy-nine thousand, seventy-two".