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42505656 = 2332377003
BaseRepresentation
bin1010001000100…
…1010110111000
32221222111210120
42202021112320
541340140111
64115013240
71024202124
oct242112670
987874716
1042505656
1121aa2146
121229a220
138a6319b
145906584
153ae9406
hex28895b8

42505656 has 32 divisors (see below), whose sum is σ = 110885760. Its totient is φ = 13552352.

The previous prime is 42505649. The next prime is 42505699. The reversal of 42505656 is 65650524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37950 + ... + 39053.

It is an arithmetic number, because the mean of its divisors is an integer number (3465180).

Almost surely, 242505656 is an apocalyptic number.

42505656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42505656 is an abundant number, since it is smaller than the sum of its proper divisors (68380104).

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

42505656 is a wasteful number, since it uses less digits than its factorization.

42505656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77035 (or 77031 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 42505656 is about 6519.6361861687. The cubic root of 42505656 is about 348.9920825345.

The spelling of 42505656 in words is "forty-two million, five hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 77003 154006 231009 308012 462018 616024 924036 1771069 1848072 3542138 5313207 7084276 10626414 14168552 21252828 42505656