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4038424 = 2313229103
BaseRepresentation
bin1111011001111100011000
321121011200021
433121330120
52013212144
6222320224
746216555
oct17317430
97534607
104038424
112309145
121429074
13ab5200
14771a2c
1554b884
hex3d9f18

4038424 has 48 divisors (see below), whose sum is σ = 8564400. Its totient is φ = 1782144.

The previous prime is 4038421. The next prime is 4038443. The reversal of 4038424 is 4248304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39157 + ... + 39259.

It is an arithmetic number, because the mean of its divisors is an integer number (178425).

Almost surely, 24038424 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 4038424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282200).

4038424 is an abundant number, since it is smaller than the sum of its proper divisors (4525976).

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

4038424 is a wasteful number, since it uses less digits than its factorization.

4038424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4038424 is about 2009.5830413297. The cubic root of 4038424 is about 159.2467721128.

The spelling of 4038424 in words is "four million, thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 52 58 103 104 116 169 206 232 338 377 412 676 754 824 1339 1352 1508 2678 2987 3016 4901 5356 5974 9802 10712 11948 17407 19604 23896 34814 38831 39208 69628 77662 139256 155324 310648 504803 1009606 2019212 4038424