Search a number
-
+
4056096 = 2531123167
BaseRepresentation
bin1111011110010000100000
321122001220210
433132100200
52014243341
6222534120
746322232
oct17362040
97561823
104056096
112320450
121437340
13ac0275
14778252
15551c16
hex3de420

4056096 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1168640.

The previous prime is 4056079. The next prime is 4056109. The reversal of 4056096 is 6906504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40560962 = 32903829522432, which contains 22 as substring.

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, 24205 + ... + 24371.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 24056096 is an apocalyptic number.

4056096 is a gapful number since it is divisible by the number (46) 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 4056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4056096 is an abundant number, since it is smaller than the sum of its proper divisors (8136672).

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

4056096 is a wasteful number, since it uses less digits than its factorization.

4056096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4056096 is about 2013.9751736305. The cubic root of 4056096 is about 159.4787201820.

The spelling of 4056096 in words is "four million, fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 167 176 184 253 264 276 334 352 368 501 506 528 552 668 736 759 1002 1012 1056 1104 1336 1518 1837 2004 2024 2208 2672 3036 3674 3841 4008 4048 5344 5511 6072 7348 7682 8016 8096 11022 11523 12144 14696 15364 16032 22044 23046 24288 29392 30728 42251 44088 46092 58784 61456 84502 88176 92184 122912 126753 169004 176352 184368 253506 338008 368736 507012 676016 1014024 1352032 2028048 4056096