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4084056 = 2332131433
BaseRepresentation
bin1111100101000101011000
321200111021100
433211011120
52021142211
6223311400
746466604
oct17450530
97614240
104084056
11233a459
12144b560
13accc02
14784504
1555a156
hex3e5158

4084056 has 48 divisors (see below), whose sum is σ = 11171160. Its totient is φ = 1347840.

The previous prime is 4084049. The next prime is 4084057. The reversal of 4084056 is 6504804.

4084056 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 2×40840562 = 33359026822272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) 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 (4084057) 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 11 ways as a sum of consecutive naturals, for example, 9216 + ... + 9648.

Almost surely, 24084056 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 4084056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585580).

4084056 is an abundant number, since it is smaller than the sum of its proper divisors (7087104).

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

4084056 is a wasteful number, since it uses less digits than its factorization.

4084056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4084056 is about 2020.9047478790. The cubic root of 4084056 is about 159.8443277542.

The spelling of 4084056 in words is "four million, eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 433 524 786 866 1048 1179 1299 1572 1732 2358 2598 3144 3464 3897 4716 5196 7794 9432 10392 15588 31176 56723 113446 170169 226892 340338 453784 510507 680676 1021014 1361352 2042028 4084056