Search a number
-
+
4799999232 = 283272174161
BaseRepresentation
bin1000111100001101…
…00010110100000000
3110101112001020002100
410132012202310000
534312244433412
62112144350400
7226643214600
oct43606426400
913345036070
104799999232
112043524516
12b1b615400
135b65a4142
143376bcc00
151d15ebedc
hex11e1a2d00

4799999232 has 648 divisors, whose sum is σ = 17748129672. Its totient is φ = 1238630400.

The previous prime is 4799999231. The next prime is 4799999251. The reversal of 4799999232 is 2329999974.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 4790854656 = 3024^2 + 69216^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4799999232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4799999231) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78688482 + ... + 78688542.

It is an arithmetic number, because the mean of its divisors is an integer number (27389089).

Almost surely, 24799999232 is an apocalyptic number.

4799999232 is a gapful number since it is divisible by the number (42) 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 4799999232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874064836).

4799999232 is an abundant number, since it is smaller than the sum of its proper divisors (12948130440).

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

4799999232 is a wasteful number, since it uses less digits than its factorization.

4799999232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 4799999232 is about 69282.0267601923. The cubic root of 4799999232 is about 1686.8652406373.

The spelling of 4799999232 in words is "four billion, seven hundred ninety-nine million, nine hundred ninety-nine thousand, two hundred thirty-two".