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42839952 = 2438310753
BaseRepresentation
bin1010001101101…
…0111110010000
32222121111100220
42203122332100
541431334302
64130113040
71030063551
oct243327620
988544326
1042839952
1122200321
121241b780
138b4c3ac
145992328
153b634bc
hex28daf90

42839952 has 40 divisors (see below), whose sum is σ = 112013664. Its totient is φ = 14106624.

The previous prime is 42839947. The next prime is 42839981. The reversal of 42839952 is 25993824.

42839952 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 2×428399522 = 3670522974724608, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1393 + ... + 9360.

Almost surely, 242839952 is an apocalyptic number.

It is an amenable number.

42839952 is an abundant number, since it is smaller than the sum of its proper divisors (69173712).

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

42839952 is a wasteful number, since it uses less digits than its factorization.

42839952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10841 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 42839952 is about 6545.2236019864. The cubic root of 42839952 is about 349.9046052945.

The spelling of 42839952 in words is "forty-two million, eight hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 10753 21506 32259 43012 64518 86024 129036 172048 258072 516144 892499 1784998 2677497 3569996 5354994 7139992 10709988 14279984 21419976 42839952