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42849968 = 247382589
BaseRepresentation
bin1010001101110…
…1011010110000
32222122000002212
42203131122300
541432144333
64130231252
71030135010
oct243353260
988560085
1042849968
11222078a7
1212425528
138b53b15
145995c40
153b66448
hex28dd6b0

42849968 has 20 divisors (see below), whose sum is σ = 94882320. Its totient is φ = 18364224.

The previous prime is 42849949. The next prime is 42849977. The reversal of 42849968 is 86994824.

It is a happy number.

42849968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×428499682 = 3672239515202048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 191183 + ... + 191406.

It is an arithmetic number, because the mean of its divisors is an integer number (4744116).

Almost surely, 242849968 is an apocalyptic number.

It is an amenable number.

42849968 is an abundant number, since it is smaller than the sum of its proper divisors (52032352).

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

42849968 is a wasteful number, since it uses less digits than its factorization.

42849968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382604 (or 382598 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

The square root of 42849968 is about 6545.9886953767. The cubic root of 42849968 is about 349.9318724541.

The spelling of 42849968 in words is "forty-two million, eight hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 382589 765178 1530356 2678123 3060712 5356246 6121424 10712492 21424984 42849968