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2042431216 = 24767272179
BaseRepresentation
bin111100110111101…
…0000011011110000
312021100012020220121
41321233100123300
513140330244331
6534400220024
7101420243650
oct17157203360
95240166817
102042431216
11958998891
1249000a614
132671b26a7
14155382360
15be494c11
hex79bd06f0

2042431216 has 40 divisors (see below), whose sum is σ = 4590043520. Its totient is φ = 862259904.

The previous prime is 2042431213. The next prime is 2042431217. The reversal of 2042431216 is 6121342402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042431213) by changing a digit.

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, 128586 + ... + 143593.

It is an arithmetic number, because the mean of its divisors is an integer number (114751088).

Almost surely, 22042431216 is an apocalyptic number.

It is an amenable number.

2042431216 is an abundant number, since it is smaller than the sum of its proper divisors (2547612304).

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

2042431216 is a wasteful number, since it uses less digits than its factorization.

2042431216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272261 (or 272255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2042431216 is about 45193.2651619685. The cubic root of 2042431216 is about 1268.7687689200.

Adding to 2042431216 its reverse (6121342402), we get a palindrome (8163773618).

The spelling of 2042431216 in words is "two billion, forty-two million, four hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 7504 272179 544358 1088716 1905253 2177432 3810506 4354864 7621012 15242024 18235993 30484048 36471986 72943972 127651951 145887944 255303902 291775888 510607804 1021215608 2042431216