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4085710904 = 23111971127271
BaseRepresentation
bin1111001110000111…
…0000000000111000
3101112201222121201002
43303201300000320
531331420222104
61513230544132
7203150653412
oct36341600070
911481877632
104085710904
111807306090
12960368048
13501601322
142aa8a59b2
1518da5601e
hexf3870038

4085710904 has 128 divisors (see below), whose sum is σ = 9024307200. Its totient is φ = 1714608000.

The previous prime is 4085710897. The next prime is 4085710913. The reversal of 4085710904 is 4090175804.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15076289 + ... + 15076559.

It is an arithmetic number, because the mean of its divisors is an integer number (70502400).

Almost surely, 24085710904 is an apocalyptic number.

4085710904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4085710904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512153600).

4085710904 is an abundant number, since it is smaller than the sum of its proper divisors (4938596296).

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

4085710904 is a wasteful number, since it uses less digits than its factorization.

4085710904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 4085710904 is about 63919.5658933945. The cubic root of 4085710904 is about 1598.6591505990.

The spelling of 4085710904 in words is "four billion, eighty-five million, seven hundred ten thousand, nine hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 71 76 88 127 142 152 209 254 271 284 418 508 542 568 781 836 1016 1084 1349 1397 1562 1672 2168 2413 2698 2794 2981 3124 4826 5149 5396 5588 5962 6248 9017 9652 10298 10792 11176 11924 14839 18034 19241 19304 20596 23848 26543 29678 34417 36068 38482 41192 53086 56639 59356 68834 72136 76964 99187 106172 113278 118712 137668 153928 171323 198374 211651 212344 226556 275336 342646 365579 378587 396748 423302 453112 653923 685292 731158 757174 793496 846604 1307846 1370584 1462316 1514348 1693208 1884553 2443607 2615692 2924632 3028696 3769106 4021369 4887214 5231384 7193153 7538212 8042738 9774428 14386306 15076424 16085476 19548856 26879677 28772612 32170952 46428533 53759354 57545224 92857066 107518708 185714132 215037416 371428264 510713863 1021427726 2042855452 4085710904