Search a number
-
+
5479046982 = 2332337311827
BaseRepresentation
bin1010001101001001…
…11001111101000110
3112010211210102111000
411012210321331012
542210114000412
62303402554130
7252530062623
oct50644717506
915124712430
105479046982
112361863102
12108ab08946
13694188846
1439d96134a
152210314dc
hex146939f46

5479046982 has 64 divisors (see below), whose sum is σ = 12740175360. Its totient is φ = 1742111712.

The previous prime is 5479046927. The next prime is 5479046999. The reversal of 5479046982 is 2896409745.

5479046982 is a `hidden beast` number, since 547 + 9 + 0 + 4 + 6 + 98 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 457353 + ... + 469179.

It is an arithmetic number, because the mean of its divisors is an integer number (199065240).

Almost surely, 25479046982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5479046982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370087680).

5479046982 is an abundant number, since it is smaller than the sum of its proper divisors (7261128378).

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

5479046982 is a wasteful number, since it uses less digits than its factorization.

5479046982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12228 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5479046982 is about 74020.5848531339. The cubic root of 5479046982 is about 1762.9297559542.

The spelling of 5479046982 in words is "five billion, four hundred seventy-nine million, forty-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 373 414 621 746 1119 1242 2238 3357 6714 8579 10071 11827 17158 20142 23654 25737 35481 51474 70962 77211 106443 154422 212886 231633 272021 319329 463266 544042 638658 816063 1632126 2448189 4411471 4896378 7344567 8822942 13234413 14689134 26468826 39703239 79406478 101463833 119109717 202927666 238219434 304391499 608782998 913174497 1826348994 2739523491 5479046982