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3982302528 = 26361714789
BaseRepresentation
bin1110110101011101…
…0001110101000000
3101021112101221002020
43231113101311000
531123432140103
61455054321440
7200454004311
oct35527216500
911245357066
103982302528
1117639a6916
129317b9280
134b6066339
1429ac68608
1518492b753
hexed5d1d40

3982302528 has 112 divisors (see below), whose sum is σ = 10862340480. Its totient is φ = 1287014400.

The previous prime is 3982302509. The next prime is 3982302553. The reversal of 3982302528 is 8252032893.

3982302528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3982302528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829158 + ... + 833946.

Almost surely, 23982302528 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 3982302528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431170240).

3982302528 is an abundant number, since it is smaller than the sum of its proper divisors (6880037952).

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

3982302528 is a wasteful number, since it uses less digits than its factorization.

3982302528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3982302528 is about 63105.4873049880. The cubic root of 3982302528 is about 1585.0565087145.

The spelling of 3982302528 in words is "three billion, nine hundred eighty-two million, three hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 71 96 122 142 183 192 213 244 284 366 426 488 568 732 852 976 1136 1464 1704 1952 2272 2928 3408 3904 4331 4544 4789 5856 6816 8662 9578 11712 12993 13632 14367 17324 19156 25986 28734 34648 38312 51972 57468 69296 76624 103944 114936 138592 153248 207888 229872 277184 292129 306496 340019 415776 459744 584258 680038 831552 876387 919488 1020057 1168516 1360076 1752774 2040114 2337032 2720152 3505548 4080228 4674064 5440304 7011096 8160456 9348128 10880608 14022192 16320912 18696256 20741159 21761216 28044384 32641824 41482318 56088768 62223477 65283648 82964636 124446954 165929272 248893908 331858544 497787816 663717088 995575632 1327434176 1991151264 3982302528