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3982201468 = 2272913735797
BaseRepresentation
bin1110110101011011…
…1001001001111100
3101021112012210110021
43231112321021330
531123420421333
61455052221524
7200453103550
oct35526711174
911245183407
103982201468
1117639379a3
1293176a8a4
134b602c33b
1429ac3d860
1518490b82d
hexed5b927c

3982201468 has 48 divisors (see below), whose sum is σ = 8299408320. Its totient is φ = 1635734016.

The previous prime is 3982201429. The next prime is 3982201511. The reversal of 3982201468 is 8641022893.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 93346 + ... + 129142.

It is an arithmetic number, because the mean of its divisors is an integer number (172904340).

Almost surely, 23982201468 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 3982201468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149704160).

3982201468 is an abundant number, since it is smaller than the sum of its proper divisors (4317206852).

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

3982201468 is a wasteful number, since it uses less digits than its factorization.

3982201468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35974 (or 35972 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 3982201468 is about 63104.6865771473. The cubic root of 3982201468 is about 1585.0431004610.

The spelling of 3982201468 in words is "three billion, nine hundred eighty-two million, two hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 137 203 274 406 548 812 959 1918 3836 3973 7946 15892 27811 35797 55622 71594 111244 143188 250579 501158 1002316 1038113 2076226 4152452 4904189 7266791 9808378 14533582 19616756 29067164 34329323 68658646 137317292 142221481 284442962 568885924 995550367 1991100734 3982201468