Search a number
-
+
4984851456 = 21035132367
BaseRepresentation
bin1001010010001111…
…01100110000000000
3110212101212200200000
410221013230300000
540202110221311
62142350400000
7234346352424
oct45107546000
913771780600
104984851456
112128900752
12b71500000
13615986760
1435407ab84
151e2963056
hex1291ecc00

4984851456 has 528 divisors, whose sum is σ = 17024227584. Its totient is φ = 1445216256.

The previous prime is 4984851427. The next prime is 4984851461. The reversal of 4984851456 is 6541584894.

4984851456 is a `hidden beast` number, since 49 + 84 + 8 + 514 + 5 + 6 = 666.

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

Its product of digits (5529600) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74400735 + ... + 74400801.

Almost surely, 24984851456 is an apocalyptic number.

4984851456 is a gapful number since it is divisible by the number (46) 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 4984851456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8512113792).

4984851456 is an abundant number, since it is smaller than the sum of its proper divisors (12039376128).

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

4984851456 is a wasteful number, since it uses less digits than its factorization.

4984851456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 4984851456 is about 70603.4804807808. The cubic root of 4984851456 is about 1708.2472899996.

The spelling of 4984851456 in words is "four billion, nine hundred eighty-four million, eight hundred fifty-one thousand, four hundred fifty-six".