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2842112 = 2971361
BaseRepresentation
bin1010110101111000000000
312100101122102
422311320000
51211421422
6140525532
733105020
oct12657000
95311572
102842112
111671359
12b508a8
13786830
1453da80
153b2192
hex2b5e00

2842112 has 80 divisors (see below), whose sum is σ = 7103712. Its totient is φ = 1105920.

The previous prime is 2842097. The next prime is 2842127. The reversal of 2842112 is 2112482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2842097) and next prime (2842127).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 46562 + ... + 46622.

22842112 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 2842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551856).

2842112 is an abundant number, since it is smaller than the sum of its proper divisors (4261600).

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

2842112 is an equidigital number, since it uses as much as digits as its factorization.

2842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2842112 is about 1685.8564588956. The cubic root of 2842112 is about 141.6490706327.

Adding to 2842112 its reverse (2112482), we get a palindrome (4954594).

The spelling of 2842112 in words is "two million, eight hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 104 112 122 128 182 208 224 244 256 364 416 427 448 488 512 728 793 832 854 896 976 1456 1586 1664 1708 1792 1952 2912 3172 3328 3416 3584 3904 5551 5824 6344 6656 6832 7808 11102 11648 12688 13664 15616 22204 23296 25376 27328 31232 44408 46592 50752 54656 88816 101504 109312 177632 203008 218624 355264 406016 710528 1421056 2842112