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3249875412 = 2233725311587
BaseRepresentation
bin1100000110110101…
…0010100111010100
322101111012202222000
43001231102213110
523123432003122
61254252035300
7143351325300
oct30155224724
98344182860
103249875412
111418519553
12768462b30
133ca3b2304
1422b88cd00
151404a10ac
hexc1b529d4

3249875412 has 144 divisors (see below), whose sum is σ = 9987001920. Its totient is φ = 910937664.

The previous prime is 3249875407. The next prime is 3249875417. The reversal of 3249875412 is 2145789423.

3249875412 is a `hidden beast` number, since 3 + 24 + 9 + 87 + 541 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3249875407) and next prime (3249875417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249875417) 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, 274683 + ... + 286269.

It is an arithmetic number, because the mean of its divisors is an integer number (69354180).

Almost surely, 23249875412 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 3249875412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993500960).

3249875412 is an abundant number, since it is smaller than the sum of its proper divisors (6737126508).

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

3249875412 is a wasteful number, since it uses less digits than its factorization.

3249875412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11667 (or 11652 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3249875412 is about 57007.6785354394. The cubic root of 3249875412 is about 1481.2291061946.

The spelling of 3249875412 in words is "three billion, two hundred forty-nine million, eight hundred seventy-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 53 54 63 84 98 106 108 126 147 159 189 196 212 252 294 318 371 378 441 477 588 636 742 756 882 954 1113 1323 1431 1484 1764 1908 2226 2597 2646 2862 3339 4452 5194 5292 5724 6678 7791 10017 10388 11587 13356 15582 20034 23174 23373 31164 34761 40068 46348 46746 69522 70119 81109 93492 104283 139044 140238 162218 208566 243327 280476 312849 324436 417132 486654 567763 614111 625698 729981 973308 1135526 1228222 1251396 1459962 1703289 1842333 2189943 2271052 2456444 2919924 3406578 3684666 4298777 4379886 5109867 5526999 6813156 7369332 8597554 8759772 10219734 11053998 12896331 15329601 16580997 17195108 20439468 22107996 25792662 30091439 30659202 33161994 38688993 51585324 60182878 61318404 66323988 77377986 90274317 116066979 120365756 154755972 180548634 232133958 270822951 361097268 464267916 541645902 812468853 1083291804 1624937706 3249875412