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2984444892 = 22331113193243
BaseRepresentation
bin1011000111100011…
…0000001111011100
321200222202111202000
42301320300033130
522103004214032
61212051002300
7133646235342
oct26170601734
97628674660
102984444892
1112a1706690
126b3599390
133873c9330
14204517992
1512701ee7c
hexb1e303dc

2984444892 has 96 divisors (see below), whose sum is σ = 9090197760. Its totient is φ = 834805440.

The previous prime is 2984444891. The next prime is 2984444923.

It is a happy number.

2984444892 is nontrivially palindromic in base 10.

2984444892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29844448922 = 17813822626769783328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984444891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81178 + ... + 112065.

It is an arithmetic number, because the mean of its divisors is an integer number (94689560).

Almost surely, 22984444892 is an apocalyptic number.

2984444892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2984444892 is an abundant number, since it is smaller than the sum of its proper divisors (6105752868).

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

2984444892 is a wasteful number, since it uses less digits than its factorization.

2984444892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193280 (or 193272 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2984444892 is about 54630.0731465738. The cubic root of 2984444892 is about 1439.7525442842.

The spelling of 2984444892 in words is "two billion, nine hundred eighty-four million, four hundred forty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 193243 386486 579729 772972 1159458 1739187 2125673 2318916 2512159 3478374 4251346 5024318 5217561 6377019 6956748 7536477 8502692 10048636 10435122 12754038 15072954 19131057 20870244 22609431 25508076 27633749 30145908 38262114 45218862 55267498 57393171 67828293 76524228 82901247 90437724 110534996 114786342 135656586 165802494 229572684 248703741 271313172 331604988 497407482 746111223 994814964 1492222446 2984444892