Search a number
-
+
4082685684 = 2237211257383
BaseRepresentation
bin1111001101011000…
…1101011011110100
3101112112021220212220
43303112031123310
531330131420214
61513042042340
7203113153500
oct36326153364
911475256786
104082685684
11180562a200
1295b3493b0
13500ab235c
142aa319300
1518d6599a9
hexf358d6f4

4082685684 has 108 divisors (see below), whose sum is σ = 12180786912. Its totient is φ = 1060419360.

The previous prime is 4082685617. The next prime is 4082685689. The reversal of 4082685684 is 4865862804.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082685689) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 42457 + ... + 99839.

It is an arithmetic number, because the mean of its divisors is an integer number (112785064).

Almost surely, 24082685684 is an apocalyptic number.

4082685684 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 4082685684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090393456).

4082685684 is an abundant number, since it is smaller than the sum of its proper divisors (8098101228).

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

4082685684 is a wasteful number, since it uses less digits than its factorization.

4082685684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57426 (or 57406 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The square root of 4082685684 is about 63895.8972391812. The cubic root of 4082685684 is about 1598.2644832734.

The spelling of 4082685684 in words is "four billion, eighty-two million, six hundred eighty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1617 1694 2156 2541 3234 3388 5082 5929 6468 10164 11858 17787 23716 35574 57383 71148 114766 172149 229532 344298 401681 631213 688596 803362 1205043 1262426 1606724 1893639 2410086 2524852 2811767 3787278 4418491 4820172 5623534 6943343 7574556 8435301 8836982 11247068 13255473 13886686 16870602 17673964 20830029 26510946 27773372 30929437 33741204 41660058 48603401 53021892 61858874 83320116 92788311 97206802 123717748 145810203 185576622 194413604 291620406 340223807 371153244 583240812 680447614 1020671421 1360895228 2041342842 4082685684