Search a number
-
+
5283654948 = 2236111312671
BaseRepresentation
bin1001110101110111…
…00010110100100100
3111122020010111000000
410322323202310210
541310103424243
62232143021300
7244635216555
oct47273426444
914566114000
105283654948
112271538190
12103559a830
13662855a60
14381a1c32c
1520dcd75d3
hex13aee2d24

5283654948 has 168 divisors, whose sum is σ = 16288183296. Its totient is φ = 1477828800.

The previous prime is 5283654947. The next prime is 5283654983. The reversal of 5283654948 is 8494563825.

5283654948 is a `hidden beast` number, since 5 + 28 + 36 + 549 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5283654894 and 5283654903.

It is not an unprimeable number, because it can be changed into a prime (5283654947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 410653 + ... + 423323.

It is an arithmetic number, because the mean of its divisors is an integer number (96953472).

Almost surely, 25283654948 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 5283654948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144091648).

5283654948 is an abundant number, since it is smaller than the sum of its proper divisors (11004528348).

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

5283654948 is a wasteful number, since it uses less digits than its factorization.

5283654948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12717 (or 12700 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 5283654948 is about 72688.7539307148. The cubic root of 5283654948 is about 1741.7192400706.

The spelling of 5283654948 in words is "five billion, two hundred eighty-three million, six hundred fifty-four thousand, nine hundred forty-eight".