Search a number
-
+
7242334848 = 27337242767
BaseRepresentation
bin1101011111010110…
…10100001010000000
3200200201201201201000
412233223110022000
5104313014203343
63154352212000
7344320554600
oct65753241200
920621651630
107242334848
113087122401
1214a153a000
138b5593748
144c9bdcc00
152c5c36ed3
hex1afad4280

7242334848 has 192 divisors, whose sum is σ = 24865315200. Its totient is φ = 2069190144.

The previous prime is 7242334789. The next prime is 7242334889. The reversal of 7242334848 is 8484332427.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147961 + ... + 190727.

It is an arithmetic number, because the mean of its divisors is an integer number (129506850).

Almost surely, 27242334848 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 7242334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432657600).

7242334848 is an abundant number, since it is smaller than the sum of its proper divisors (17622980352).

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

7242334848 is a wasteful number, since it uses less digits than its factorization.

7242334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42804 (or 42779 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 7242334848 is about 85101.9086037440. The cubic root of 7242334848 is about 1934.7559911048.

The spelling of 7242334848 in words is "seven billion, two hundred forty-two million, three hundred thirty-four thousand, eight hundred forty-eight".