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42949296 = 24321322943
BaseRepresentation
bin1010001111010…
…1101010110000
32222211001100200
42203311222300
541443334141
64132315200
71031030415
oct243655260
988731320
1042949296
1122275495
1212472b00
138b8a0b0
1459c010c
153b85ab6
hex28f5ab0

42949296 has 60 divisors (see below), whose sum is σ = 129450048. Its totient is φ = 13214592.

The previous prime is 42949289. The next prime is 42949301. The reversal of 42949296 is 69294924.

It is a happy number.

42949296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9600 + ... + 13343.

Almost surely, 242949296 is an apocalyptic number.

It is an amenable number.

42949296 is an abundant number, since it is smaller than the sum of its proper divisors (86500752).

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

42949296 is a wasteful number, since it uses less digits than its factorization.

42949296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22970 (or 22961 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 42949296 is about 6553.5712401713. The cubic root of 42949296 is about 350.2020493242.

The spelling of 42949296 in words is "forty-two million, nine hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 22943 45886 68829 91772 137658 183544 206487 275316 298259 367088 412974 550632 596518 825948 894777 1101264 1193036 1651896 1789554 2386072 2684331 3303792 3579108 4772144 5368662 7158216 10737324 14316432 21474648 42949296