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4211312 = 247191979
BaseRepresentation
bin10000000100001001110000
321220221211112
4100010021300
52034230222
6230132452
750536610
oct20041160
97827745
104211312
112417026
1214b1128
13b45b01
147b8a40
15582be2
hex404270

4211312 has 40 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 1708992.

The previous prime is 4211299. The next prime is 4211321. The reversal of 4211312 is 2131124.

It is a super-2 number, since 2×42113122 = 35470297522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1139 + ... + 3117.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 24211312 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 4211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

4211312 is an abundant number, since it is smaller than the sum of its proper divisors (5609488).

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

4211312 is a wasteful number, since it uses less digits than its factorization.

4211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2007 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 4211312 is about 2052.1481428006. The cubic root of 4211312 is about 161.4875847920.

Adding to 4211312 its reverse (2131124), we get a palindrome (6342436).

The spelling of 4211312 in words is "four million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1979 2128 3958 7916 13853 15832 27706 31664 37601 55412 75202 110824 150404 221648 263207 300808 526414 601616 1052828 2105656 4211312