Search a number
-
+
5982244956 = 223552111813
BaseRepresentation
bin1011001001001000…
…11101000001011100
3120102220122112100000
411210210131001130
544222423314311
62425340134300
7301150146252
oct54444350134
916386575300
105982244956
11259a9041a6
1211ab537390
137444c041c
1440a70a5d2
152502cc056
hex16491d05c

5982244956 has 72 divisors (see below), whose sum is σ = 15713281584. Its totient is φ = 1990085760.

The previous prime is 5982244927. The next prime is 5982244963. The reversal of 5982244956 is 6594422895.

5982244956 is a `hidden beast` number, since 59 + 82 + 24 + 495 + 6 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500506 + ... + 512318.

It is an arithmetic number, because the mean of its divisors is an integer number (218240022).

Almost surely, 25982244956 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 5982244956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856640792).

5982244956 is an abundant number, since it is smaller than the sum of its proper divisors (9731036628).

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

5982244956 is a wasteful number, since it uses less digits than its factorization.

5982244956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12353 (or 12339 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 5982244956 is about 77344.9736957742. The cubic root of 5982244956 is about 1815.3264299155.

The spelling of 5982244956 in words is "five billion, nine hundred eighty-two million, two hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 521 972 1042 1563 2084 3126 4689 6252 9378 11813 14067 18756 23626 28134 35439 42201 47252 56268 70878 84402 106317 126603 141756 168804 212634 253206 318951 425268 506412 637902 956853 1275804 1913706 2870559 3827412 5741118 6154573 11482236 12309146 18463719 24618292 36927438 55391157 73854876 110782314 166173471 221564628 332346942 498520413 664693884 997040826 1495561239 1994081652 2991122478 5982244956