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4129024 = 281272
BaseRepresentation
bin1111110000000100000000
321202202221211
433300010000
52024112044
6224255504
750044654
oct17600400
97682854
104129024
112370219
121471594
13b17513
14796a64
15568634
hex3f0100

4129024 has 27 divisors (see below), whose sum is σ = 8307327. Its totient is φ = 2048256.

The previous prime is 4129007. The next prime is 4129031. The reversal of 4129024 is 4209214.

The square root of 4129024 is 2032.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4128986 and 4129004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32449 + ... + 32575.

Almost surely, 24129024 is an apocalyptic number.

4129024 is the 2032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129024

4129024 is an abundant number, since it is smaller than the sum of its proper divisors (4178303).

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

4129024 is an frugal number, since it uses more digits than its factorization.

4129024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 4129024 is about 160.4288495236.

Multiplying 4129024 by its product of nonzero digits (576), we get a square (2378317824 = 487682).

It can be divided in two parts, 41290 and 24, that added together give a palindrome (41314).

The spelling of 4129024 in words is "four million, one hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 1016 2032 4064 8128 16129 16256 32258 32512 64516 129032 258064 516128 1032256 2064512 4129024