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2442876 = 2232353167
BaseRepresentation
bin1001010100011001111100
311121002222220
421110121330
51111133001
6124205340
726523042
oct11243174
94532886
102442876
111419407
12999850
13676bb7
14478392
15333c36
hex25467c

2442876 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 759616.

The previous prime is 2442871. The next prime is 2442889. The reversal of 2442876 is 6782442.

2442876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14545 + ... + 14711.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22442876 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 2442876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2442876 is an abundant number, since it is smaller than the sum of its proper divisors (3653508).

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

2442876 is a wasteful number, since it uses less digits than its factorization.

2442876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2442876 is about 1562.9702492370. The cubic root of 2442876 is about 134.6791833392.

The spelling of 2442876 in words is "two million, four hundred forty-two thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 167 212 276 318 334 501 636 668 1002 1219 2004 2438 3657 3841 4876 7314 7682 8851 11523 14628 15364 17702 23046 26553 35404 46092 53106 106212 203573 407146 610719 814292 1221438 2442876