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4033248 = 25342013
BaseRepresentation
bin1111011000101011100000
321120220120120
433120223200
52013030443
6222240240
746165512
oct17305340
97526516
104033248
11230526a
121426080
13ab2a4b
1476dbb2
1554a083
hex3d8ae0

4033248 has 24 divisors (see below), whose sum is σ = 10587528. Its totient is φ = 1344384.

The previous prime is 4033243. The next prime is 4033261. The reversal of 4033248 is 8423304.

4033248 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033241) 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 3 ways as a sum of consecutive naturals, for example, 20911 + ... + 21102.

It is an arithmetic number, because the mean of its divisors is an integer number (441147).

Almost surely, 24033248 is an apocalyptic number.

4033248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4033248 is an abundant number, since it is smaller than the sum of its proper divisors (6554280).

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

4033248 is a wasteful number, since it uses less digits than its factorization.

4033248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42026 (or 42018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4033248 is about 2008.2947990771. The cubic root of 4033248 is about 159.1787081278.

The spelling of 4033248 in words is "four million, thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42013 84026 126039 168052 252078 336104 504156 672208 1008312 1344416 2016624 4033248