Search a number
-
+
2473019640 = 2333571325163
BaseRepresentation
bin1001001101100111…
…0100100011111000
320101100102102012000
42103121310203320
520031043112030
61045221221000
7115166214540
oct22331644370
96340372160
102473019640
111059a56293
12590261760
13305473a40
1419662a320
15e719b860
hex936748f8

2473019640 has 256 divisors, whose sum is σ = 10146124800. Its totient is φ = 521759232.

The previous prime is 2473019629. The next prime is 2473019641. The reversal of 2473019640 is 469103742.

2473019640 is a `hidden beast` number, since 2 + 4 + 7 + 3 + 0 + 1 + 9 + 640 = 666.

2473019640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24730196402 = 12231652279651459200, which contains 22 as substring.

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 = 2473019595 and 2473019604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473019641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85699 + ... + 110861.

It is an arithmetic number, because the mean of its divisors is an integer number (39633300).

Almost surely, 22473019640 is an apocalyptic number.

2473019640 is a gapful number since it is divisible by the number (20) 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 2473019640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073062400).

2473019640 is an abundant number, since it is smaller than the sum of its proper divisors (7673105160).

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

2473019640 is a wasteful number, since it uses less digits than its factorization.

2473019640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25203 (or 25193 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2473019640 is about 49729.4645054620. The cubic root of 2473019640 is about 1352.3087407488.

The spelling of 2473019640 in words is "two billion, four hundred seventy-three million, nineteen thousand, six hundred forty".