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4057248 = 253133251
BaseRepresentation
bin1111011110100010100000
321122010111110
433132202200
52014312443
6222543320
746325466
oct17364240
97563443
104057248
1123212a8
121437b40
13ac0950
14778836
15552233
hex3de8a0

4057248 has 48 divisors (see below), whose sum is σ = 11473056. Its totient is φ = 1248000.

The previous prime is 4057247. The next prime is 4057297. The reversal of 4057248 is 8427504.

4057248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40572482 = 32922522667008, which contains 22 as substring.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4057247) 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 7 ways as a sum of consecutive naturals, for example, 378 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (239022).

Almost surely, 24057248 is an apocalyptic number.

4057248 is a gapful number since it is divisible by the number (48) 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 4057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736528).

4057248 is an abundant number, since it is smaller than the sum of its proper divisors (7415808).

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

4057248 is a wasteful number, since it uses less digits than its factorization.

4057248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4057248 is about 2014.2611548655. The cubic root of 4057248 is about 159.4938169725.

The spelling of 4057248 in words is "four million, fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3251 6502 9753 13004 19506 26008 39012 42263 52016 78024 84526 104032 126789 156048 169052 253578 312096 338104 507156 676208 1014312 1352416 2028624 4057248