Search a number
-
+
5982742272 = 2831317101349
BaseRepresentation
bin1011001001001100…
…10110011100000000
3120102221120210112010
411210212112130000
544223040223042
62425354532520
7301154320203
oct54446263400
916387523463
105982742272
1125a0113901
1211ab737140
137446358b0
1440a7d993a
1525037959c
hex164996700

5982742272 has 288 divisors, whose sum is σ = 18388641600. Its totient is φ = 1710489600.

The previous prime is 5982742217. The next prime is 5982742273. The reversal of 5982742272 is 2722472895.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5982742273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17142354 + ... + 17142702.

It is an arithmetic number, because the mean of its divisors is an integer number (63849450).

Almost surely, 25982742272 is an apocalyptic number.

5982742272 is a gapful number since it is divisible by the number (52) 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 5982742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194320800).

5982742272 is an abundant number, since it is smaller than the sum of its proper divisors (12405899328).

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

5982742272 is a wasteful number, since it uses less digits than its factorization.

5982742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 5982742272 is about 77348.1885502175. The cubic root of 5982742272 is about 1815.3767324284.

The spelling of 5982742272 in words is "five billion, nine hundred eighty-two million, seven hundred forty-two thousand, two hundred seventy-two".