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4212024 = 233223787
BaseRepresentation
bin10000000100010100111000
321220222210220
4100010110320
52034241044
6230140040
750541645
oct20042470
97828726
104212024
112417613
1214b1620
13b4622b
147b8dcc
15583019
hex404538

4212024 has 32 divisors (see below), whose sum is σ = 10590720. Its totient is φ = 1395936.

The previous prime is 4212023. The next prime is 4212029. The reversal of 4212024 is 4202124.

It is a super-2 number, since 2×42120242 = 35482292353152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4211994 and 4212012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4959 + ... + 5745.

It is an arithmetic number, because the mean of its divisors is an integer number (330960).

Almost surely, 24212024 is an apocalyptic number.

It is an amenable number.

4212024 is an abundant number, since it is smaller than the sum of its proper divisors (6378696).

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

4212024 is a wasteful number, since it uses less digits than its factorization.

4212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4212024 is about 2052.3216122236. The cubic root of 4212024 is about 161.4966850978.

Adding to 4212024 its reverse (4202124), we get a palindrome (8414148).

The spelling of 4212024 in words is "four million, two hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 223 446 669 787 892 1338 1574 1784 2361 2676 3148 4722 5352 6296 9444 18888 175501 351002 526503 702004 1053006 1404008 2106012 4212024