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3041852772 = 22372171731759
BaseRepresentation
bin1011010101001110…
…1111110101100100
321211222210010112210
42311103233311210
522212203242042
61221501243420
7135244215300
oct26523576544
97758703483
103041852772
111321057012
1270a863570
133962794aa
1420bdbcd00
1512c0aea9c
hexb54efd64

3041852772 has 144 divisors (see below), whose sum is σ = 8797662720. Its totient is φ = 812786688.

The previous prime is 3041852767. The next prime is 3041852777. The reversal of 3041852772 is 2772581403.

It is an interprime number because it is at equal distance from previous prime (3041852767) and next prime (3041852777).

It is a self number, because there is not a number n which added to its sum of digits gives 3041852772.

It is not an unprimeable number, because it can be changed into a prime (3041852777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728429 + ... + 1730187.

It is an arithmetic number, because the mean of its divisors is an integer number (61094880).

Almost surely, 23041852772 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 3041852772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398831360).

3041852772 is an abundant number, since it is smaller than the sum of its proper divisors (5755809948).

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

3041852772 is a wasteful number, since it uses less digits than its factorization.

3041852772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 3041852772 is about 55152.9942251552. The cubic root of 3041852772 is about 1448.9255253562.

The spelling of 3041852772 in words is "three billion, forty-one million, eight hundred fifty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 173 196 204 238 294 346 357 476 519 588 692 714 833 1038 1211 1428 1666 1759 2076 2422 2499 2941 3332 3518 3633 4844 4998 5277 5882 7036 7266 8477 8823 9996 10554 11764 12313 14532 16954 17646 20587 21108 24626 25431 29903 33908 35292 36939 41174 49252 50862 59806 61761 73878 82348 86191 89709 101724 119612 123522 144109 147756 172382 179418 209321 247044 258573 288218 304307 344764 358836 418642 432327 517146 576436 608614 627963 837284 864654 912921 1034292 1217228 1255926 1465247 1729308 1825842 2130149 2511852 2930494 3651684 4260298 4395741 5173219 5860988 6390447 8520596 8791482 10346438 12780894 14911043 15519657 17582964 20692876 25561788 29822086 31039314 36212533 44733129 59644172 62078628 72425066 89466258 108637599 144850132 178932516 217275198 253487731 434550396 506975462 760463193 1013950924 1520926386 3041852772