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42978208 = 2571314759
BaseRepresentation
bin1010001111110…
…0101110100000
32222212112000111
42203330232200
542000300313
64133101104
71031210620
oct243745640
988775014
1042978208
1122295189
1212487794
138b9a2c0
1459ca880
153b8e43d
hex28fcba0

42978208 has 48 divisors (see below), whose sum is σ = 104146560. Its totient is φ = 17001216.

The previous prime is 42978181. The next prime is 42978223. The reversal of 42978208 is 80287924.

42978208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 4468 + ... + 10291.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 242978208 is an apocalyptic number.

It is an amenable number.

42978208 is an abundant number, since it is smaller than the sum of its proper divisors (61168352).

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

42978208 is a wasteful number, since it uses less digits than its factorization.

42978208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 42978208 is about 6555.7766893023. The cubic root of 42978208 is about 350.2806130532.

The spelling of 42978208 in words is "forty-two million, nine hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 14759 29518 59036 103313 118072 191867 206626 236144 383734 413252 472288 767468 826504 1343069 1534936 1653008 2686138 3069872 3306016 5372276 6139744 10744552 21489104 42978208