[go: up one dir, main page]

Search a number
-
+
4048422840 = 2332571131771
BaseRepresentation
bin1111000101001110…
…0000011110111000
3101110010211012002200
43301103200132320
531242344012330
61505415430200
7202216012020
oct36123403670
911403735080
104048422840
111798258000
1294b985360
134c6976c97
142a595aa80
1518a63ca60
hexf14e07b8

4048422840 has 768 divisors, whose sum is σ = 17759139840. Its totient is φ = 780595200.

The previous prime is 4048422817. The next prime is 4048422841. The reversal of 4048422840 is 482248404.

4048422840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4048422795 and 4048422804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048422841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57020005 + ... + 57020075.

It is an arithmetic number, because the mean of its divisors is an integer number (23123880).

Almost surely, 24048422840 is an apocalyptic number.

4048422840 is a gapful number since it is divisible by the number (40) 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 4048422840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879569920).

4048422840 is an abundant number, since it is smaller than the sum of its proper divisors (13710717000).

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

4048422840 is a wasteful number, since it uses less digits than its factorization.

4048422840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4048422840 is about 63627.2177609551. The cubic root of 4048422840 is about 1593.7809154787.

The spelling of 4048422840 in words is "four billion, forty-eight million, four hundred twenty-two thousand, eight hundred forty".