Search a number
-
+
982282014 = 232773269397
BaseRepresentation
bin111010100011000…
…110111100011110
32112110100002121100
4322203012330132
54002431011024
6241245413530
733225154650
oct7243067436
92473302540
10982282014
1146452201a
12234b6a2a6
1312867567c
14946586d0
155b3817c9
hex3a8c6f1e

982282014 has 96 divisors (see below), whose sum is σ = 2481036480. Its totient is φ = 275083776.

The previous prime is 982282001. The next prime is 982282033. The reversal of 982282014 is 410282289.

It is a self number, because there is not a number n which added to its sum of digits gives 982282014.

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 47 ways as a sum of consecutive naturals, for example, 2474064 + ... + 2474460.

It is an arithmetic number, because the mean of its divisors is an integer number (25844130).

Almost surely, 2982282014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982282014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240518240).

982282014 is an abundant number, since it is smaller than the sum of its proper divisors (1498754466).

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

982282014 is a wasteful number, since it uses less digits than its factorization.

982282014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 982282014 is about 31341.3786231557. The cubic root of 982282014 is about 994.0587764339.

The spelling of 982282014 in words is "nine hundred eighty-two million, two hundred eighty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 269 397 438 511 538 657 794 807 1022 1191 1314 1533 1614 1883 2382 2421 2779 3066 3573 3766 4599 4842 5558 5649 7146 8337 9198 11298 16674 16947 19637 25011 28981 33894 39274 50022 57962 58911 86943 106793 117822 137459 173886 176733 202867 213586 260829 274918 320379 353466 405734 412377 521658 608601 640758 747551 824754 961137 1217202 1237131 1495102 1825803 1922274 2242653 2474262 3651606 4485306 6727959 7795889 13455918 15591778 23387667 46775334 54571223 70163001 109142446 140326002 163713669 327427338 491141007 982282014