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4114056 = 2332329257
BaseRepresentation
bin1111101100011010001000
321202000102110
433230122020
52023122211
6224102320
746653222
oct17543210
97660373
104114056
11235aa51
1214649a0
13b1076b
14791412
15563ea6
hex3ec688

4114056 has 64 divisors (see below), whose sum is σ = 11145600. Its totient is φ = 1261568.

The previous prime is 4114021. The next prime is 4114057. The reversal of 4114056 is 6504114.

4114056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41140562 = 33850913542272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4114057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15880 + ... + 16136.

It is an arithmetic number, because the mean of its divisors is an integer number (174150).

Almost surely, 24114056 is an apocalyptic number.

4114056 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 4114056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572800).

4114056 is an abundant number, since it is smaller than the sum of its proper divisors (7031544).

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

4114056 is a wasteful number, since it uses less digits than its factorization.

4114056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4114056 is about 2028.3135852230. The cubic root of 4114056 is about 160.2347595479.

The spelling of 4114056 in words is "four million, one hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 257 276 348 514 552 667 696 771 1028 1334 1542 2001 2056 2668 3084 4002 5336 5911 6168 7453 8004 11822 14906 16008 17733 22359 23644 29812 35466 44718 47288 59624 70932 89436 141864 171419 178872 342838 514257 685676 1028514 1371352 2057028 4114056