Search a number
-
+
2042040224 = 25719314721
BaseRepresentation
bin111100110110111…
…0000111110100000
312021022110101120102
41321231300332200
513140230241344
6534344001532
7101414025020
oct17155607640
95238411512
102042040224
11958751054
1248ba602a8
132670a6733
141552bda80
15be418e4e
hex79b70fa0

2042040224 has 48 divisors (see below), whose sum is σ = 4597943616. Its totient is φ = 874521600.

The previous prime is 2042040197. The next prime is 2042040241. The reversal of 2042040224 is 4220402402.

It is a junction number, because it is equal to n+sod(n) for n = 2042040196 and 2042040205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430184 + ... + 434904.

It is an arithmetic number, because the mean of its divisors is an integer number (95790492).

Almost surely, 22042040224 is an apocalyptic number.

It is an amenable number.

2042040224 is an abundant number, since it is smaller than the sum of its proper divisors (2555903392).

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

2042040224 is a wasteful number, since it uses less digits than its factorization.

2042040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2042040224 is about 45188.9391776351. The cubic root of 2042040224 is about 1268.6878016732.

Adding to 2042040224 its reverse (4220402402), we get a palindrome (6262442626).

The spelling of 2042040224 in words is "two billion, forty-two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1931 3862 4721 7724 9442 13517 15448 18884 27034 30896 33047 37768 54068 61792 66094 75536 108136 132188 151072 216272 264376 432544 528752 1057504 9116251 18232502 36465004 63813757 72930008 127627514 145860016 255255028 291720032 510510056 1021020112 2042040224