Search a number
-
+
2840770482 = 2311217337683
BaseRepresentation
bin1010100101010010…
…1011011110110010
321022222102002111120
42221110223132302
521304214123412
61145515323110
7130253102454
oct25124533662
97288362446
102840770482
1112285a4a00
12673450496
133637036a4
141cd3d82d4
151195deb8c
hexa952b7b2

2840770482 has 96 divisors (see below), whose sum is σ = 6641683776. Its totient is φ = 806615040.

The previous prime is 2840770481. The next prime is 2840770483.

2840770482 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2840770481) and next prime (2840770483).

It is not an unprimeable number, because it can be changed into a prime (2840770481) by changing a digit.

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, 4158913 + ... + 4159595.

It is an arithmetic number, because the mean of its divisors is an integer number (69184206).

Almost surely, 22840770482 is an apocalyptic number.

2840770482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2840770482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320841888).

2840770482 is an abundant number, since it is smaller than the sum of its proper divisors (3800913294).

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

2840770482 is a wasteful number, since it uses less digits than its factorization.

2840770482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 2840770482 is about 53298.8788062188. The cubic root of 2840770482 is about 1416.2678032135.

It can be divided in two parts, 28407 and 70482, that added together give a palindrome (98889).

The spelling of 2840770482 in words is "two billion, eight hundred forty million, seven hundred seventy thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 337 363 374 561 674 683 726 1011 1122 1366 2022 2049 2057 3707 4098 4114 5729 6171 7414 7513 11121 11458 11611 12342 15026 17187 22242 22539 23222 34374 34833 40777 45078 63019 69666 81554 82643 122331 126038 127721 165286 189057 230171 244662 247929 255442 378114 383163 460342 495858 690513 693209 766326 1381026 1386418 1404931 2079627 2531881 2809862 3912907 4159254 4214793 5063762 7595643 7825814 8429586 11738721 15191286 23477442 27850691 43041977 55701382 83552073 86083954 129125931 167104146 258251862 473461747 946923494 1420385241 2840770482