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2982140532 = 2232723836199
BaseRepresentation
bin1011000110111111…
…1101101001110100
321200211102102202100
42301233331221310
522101411444112
61211525342100
7133620530160
oct26157755164
97624372670
102982140532
1112a0382358
126b2867930
13386aa04c7
142040b7ca0
15126c172dc
hexb1bfda74

2982140532 has 144 divisors (see below), whose sum is σ = 9099417600. Its totient is φ = 805045824.

The previous prime is 2982140531. The next prime is 2982140599. The reversal of 2982140532 is 2350412892.

It is a happy number.

2982140532 is a `hidden beast` number, since 2 + 9 + 82 + 1 + 40 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982140531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477969 + ... + 484167.

It is an arithmetic number, because the mean of its divisors is an integer number (63190400).

Almost surely, 22982140532 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 2982140532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

2982140532 is an abundant number, since it is smaller than the sum of its proper divisors (6117277068).

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

2982140532 is a wasteful number, since it uses less digits than its factorization.

2982140532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2982140532 is about 54608.9784925519. The cubic root of 2982140532 is about 1439.3818932862.

The spelling of 2982140532 in words is "two billion, nine hundred eighty-two million, one hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 83 84 92 126 138 161 166 207 249 252 276 322 332 414 483 498 581 644 747 828 966 996 1162 1449 1494 1743 1909 1932 2324 2898 2988 3486 3818 5229 5727 5796 6199 6972 7636 10458 11454 12398 13363 17181 18597 20916 22908 24796 26726 34362 37194 40089 43393 53452 55791 68724 74388 80178 86786 111582 120267 130179 142577 160356 173572 223164 240534 260358 285154 390537 427731 481068 514517 520716 570308 781074 855462 998039 1029034 1283193 1543551 1562148 1710924 1996078 2058068 2566386 2994117 3087102 3601619 3992156 4630653 5132772 5988234 6174204 7203238 8982351 9261306 10804857 11833891 11976468 14406476 17964702 18522612 21609714 23667782 32414571 35501673 35929404 43219428 47335564 64829142 71003346 82837237 106505019 129658284 142006692 165674474 213010038 248511711 331348948 426020076 497023422 745535133 994046844 1491070266 2982140532