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4027212 = 223372761
BaseRepresentation
bin1111010111001101001100
321120121022000
433113031030
52012332322
6222152300
746142100
oct17271514
97517260
104027212
112300782
121422690
13ab0087
1476b900
155483ac
hex3d734c

4027212 has 72 divisors (see below), whose sum is σ = 12161520. Its totient is φ = 1149120.

The previous prime is 4027211. The next prime is 4027213. The reversal of 4027212 is 2127204.

It is an interprime number because it is at equal distance from previous prime (4027211) and next prime (4027213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4027211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4912 + ... + 5672.

It is an arithmetic number, because the mean of its divisors is an integer number (168910).

Almost surely, 24027212 is an apocalyptic number.

4027212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4027212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080760).

4027212 is an abundant number, since it is smaller than the sum of its proper divisors (8134308).

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

4027212 is a wasteful number, since it uses less digits than its factorization.

4027212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4027212 is about 2006.7914689872. The cubic root of 4027212 is about 159.0992616221.

The spelling of 4027212 in words is "four million, twenty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 761 882 1323 1522 1764 2283 2646 3044 4566 5292 5327 6849 9132 10654 13698 15981 20547 21308 27396 31962 37289 41094 47943 63924 74578 82188 95886 111867 143829 149156 191772 223734 287658 335601 447468 575316 671202 1006803 1342404 2013606 4027212