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4049424 = 243261461
BaseRepresentation
bin1111011100101000010000
321121201202200
433130220100
52014040144
6222443200
746263621
oct17345020
97551680
104049424
112316435
121433500
13aba212
14775a48
1554ec69
hex3dca10

4049424 has 60 divisors (see below), whose sum is σ = 11543532. Its totient is φ = 1324800.

The previous prime is 4049401. The next prime is 4049429. The reversal of 4049424 is 4249404.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 3459600 = 768^2 + 1860^2 .

It is not an unprimeable number, because it can be changed into a prime (4049429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8554 + ... + 9014.

Almost surely, 24049424 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 4049424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771766).

4049424 is an abundant number, since it is smaller than the sum of its proper divisors (7494108).

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

4049424 is a wasteful number, since it uses less digits than its factorization.

4049424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4049424 is about 2012.3180663106. The cubic root of 4049424 is about 159.3912283360.

The spelling of 4049424 in words is "four million, forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 461 488 549 732 922 976 1098 1383 1464 1844 2196 2766 2928 3688 4149 4392 5532 7376 8298 8784 11064 16596 22128 28121 33192 56242 66384 84363 112484 168726 224968 253089 337452 449936 506178 674904 1012356 1349808 2024712 4049424