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2077843482 = 2331113535077
BaseRepresentation
bin111101111011001…
…0110000000011010
312100210211101102000
41323312112000122
513223411442412
6542103221430
7102330243501
oct17366260032
95323741360
102077843482
11976985620
1249ba47876
13271630cb0
14159d5d838
15c263c4dc
hex7bd9601a

2077843482 has 128 divisors (see below), whose sum is σ = 5528113920. Its totient is φ = 570136320.

The previous prime is 2077843459. The next prime is 2077843487. The reversal of 2077843482 is 2843487702.

2077843482 is a `hidden beast` number, since 20 + 77 + 84 + 3 + 482 = 666.

It is not an unprimeable number, because it can be changed into a prime (2077843487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406728 + ... + 411804.

It is an arithmetic number, because the mean of its divisors is an integer number (43188390).

Almost surely, 22077843482 is an apocalyptic number.

2077843482 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 2077843482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764056960).

2077843482 is an abundant number, since it is smaller than the sum of its proper divisors (3450270438).

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

2077843482 is a wasteful number, since it uses less digits than its factorization.

2077843482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2077843482 is about 45583.3684801815. The cubic root of 2077843482 is about 1276.0595538450.

The spelling of 2077843482 in words is "two billion, seventy-seven million, eight hundred forty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 53 54 66 78 99 106 117 143 159 198 234 286 297 318 351 429 477 583 594 689 702 858 954 1166 1287 1378 1431 1749 2067 2574 2862 3498 3861 4134 5077 5247 6201 7579 7722 10154 10494 12402 15158 15231 15741 18603 22737 30462 31482 37206 45474 45693 55847 66001 68211 91386 111694 132002 136422 137079 167541 198003 204633 269081 274158 335082 396006 409266 502623 538162 594009 726011 807243 1005246 1188018 1452022 1507869 1614486 1782027 2178033 2421729 2959891 3015738 3498053 3564054 4356066 4843458 5919782 6534099 6996106 7265187 8879673 10494159 13068198 14530374 17759346 19602297 20988318 26639019 31482477 38478583 39204594 53278038 62964954 76957166 79917057 94447431 115435749 159834114 188894862 230871498 346307247 692614494 1038921741 2077843482