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4027842 = 2327132459
BaseRepresentation
bin1111010111010111000010
321120122011100
433113113002
52012342332
6222155230
746143660
oct17272702
97518140
104027842
1123011a5
121422b16
13ab0450
1476bc30
1554867c
hex3d75c2

4027842 has 48 divisors (see below), whose sum is σ = 10745280. Its totient is φ = 1061856.

The previous prime is 4027831. The next prime is 4027843. The reversal of 4027842 is 2487204.

It is a super-2 number, since 2×40278422 = 32447022353928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4027843) 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, 409 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (223860).

Almost surely, 24027842 is an apocalyptic number.

4027842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4027842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372640).

4027842 is an abundant number, since it is smaller than the sum of its proper divisors (6717438).

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

4027842 is a wasteful number, since it uses less digits than its factorization.

4027842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4027842 is about 2006.9484298307. The cubic root of 4027842 is about 159.1075574612.

The spelling of 4027842 in words is "four million, twenty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 2459 4918 7377 14754 17213 22131 31967 34426 44262 51639 63934 95901 103278 154917 191802 223769 287703 309834 447538 575406 671307 1342614 2013921 4027842