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4213872 = 2432132251
BaseRepresentation
bin10000000100110001110000
321221002100100
4100010301300
52034320442
6230152400
750550225
oct20046160
97832310
104213872
112418a43
1214b2700
13b47020
147b994c
1558384c
hex404c70

4213872 has 60 divisors (see below), whose sum is σ = 12705784. Its totient is φ = 1296000.

The previous prime is 4213843. The next prime is 4213889. The reversal of 4213872 is 2783124.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 747 + ... + 2997.

Almost surely, 24213872 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 4213872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352892).

4213872 is an abundant number, since it is smaller than the sum of its proper divisors (8491912).

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

4213872 is a wasteful number, since it uses less digits than its factorization.

4213872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2269 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4213872 is about 2052.7717846853. The cubic root of 4213872 is about 161.5203002084.

Adding to 4213872 its reverse (2783124), we get a palindrome (6996996).

The spelling of 4213872 in words is "four million, two hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2251 4502 6753 9004 13506 18008 20259 27012 29263 36016 40518 54024 58526 81036 87789 108048 117052 162072 175578 234104 263367 324144 351156 468208 526734 702312 1053468 1404624 2106936 4213872