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4057856 = 28112131
BaseRepresentation
bin1111011110101100000000
321122011022222
433132230000
52014322411
6222550212
746330325
oct17365400
97564288
104057856
112321800
121438368
13ac0cca
14778b4c
155524db
hex3deb00

4057856 has 54 divisors (see below), whose sum is σ = 8971116. Its totient is φ = 1830400.

The previous prime is 4057853. The next prime is 4057861. The reversal of 4057856 is 6587504.

4057856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4057853) 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 5 ways as a sum of consecutive naturals, for example, 30911 + ... + 31041.

Almost surely, 24057856 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 4057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485558).

4057856 is an abundant number, since it is smaller than the sum of its proper divisors (4913260).

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

4057856 is a wasteful number, since it uses less digits than its factorization.

4057856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 4057856 is about 2014.4120730377. The cubic root of 4057856 is about 159.5017835710.

It can be divided in two parts, 4057 and 856, that added together give a cube (4913 = 173).

The spelling of 4057856 in words is "four million, fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 131 176 242 256 262 352 484 524 704 968 1048 1408 1441 1936 2096 2816 2882 3872 4192 5764 7744 8384 11528 15488 15851 16768 23056 30976 31702 33536 46112 63404 92224 126808 184448 253616 368896 507232 1014464 2028928 4057856