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4086793984 = 28713315659
BaseRepresentation
bin1111001110010111…
…1000011100000000
3101112211000122102011
43303211320130000
531332204401414
61513310102304
7203163114160
oct36345703400
911484018364
104086793984
111807985899
129607aa994
135018c02c0
142aaaa85a0
1518dbbbdc4
hexf3978700

4086793984 has 144 divisors (see below), whose sum is σ = 10365859840. Its totient is φ = 1564323840.

The previous prime is 4086793969. The next prime is 4086793987. The reversal of 4086793984 is 4893976804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086793987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719347 + ... + 725005.

Almost surely, 24086793984 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 4086793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182929920).

4086793984 is an abundant number, since it is smaller than the sum of its proper divisors (6279065856).

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

4086793984 is a wasteful number, since it uses less digits than its factorization.

4086793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The square root of 4086793984 is about 63928.0375422240. The cubic root of 4086793984 is about 1598.8004008259.

The spelling of 4086793984 in words is "four billion, eighty-six million, seven hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 728 806 832 868 896 992 1456 1612 1664 1736 1792 1984 2821 2912 3224 3328 3472 3968 5642 5659 5824 6448 6944 7936 11284 11318 11648 12896 13888 22568 22636 23296 25792 27776 39613 45136 45272 51584 55552 73567 79226 90272 90544 103168 147134 158452 175429 180544 181088 294268 316904 350858 361088 362176 514969 588536 633808 701716 722176 724352 1029938 1177072 1228003 1267616 1403432 1448704 2059876 2280577 2354144 2456006 2535232 2806864 4119752 4561154 4708288 4912012 5070464 5613728 8239504 9122308 9416576 9824024 10140928 11227456 15964039 16479008 18244616 18833152 19648048 22454912 31928078 32958016 36489232 39296096 44909824 63856156 65916032 72978464 78592192 127712312 131832064 145956928 157184384 255424624 291913856 314368768 510849248 583827712 1021698496 2043396992 4086793984