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42724256 = 251638191
BaseRepresentation
bin1010001011111…
…0101110100000
32222101121122212
42202332232200
541414134011
64123421252
71026102341
oct242765640
988347585
1042724256
1122131403
1212384828
138b0b833
1459620c8
153b3e08b
hex28beba0

42724256 has 24 divisors (see below), whose sum is σ = 84639744. Its totient is φ = 21228480.

The previous prime is 42724237. The next prime is 42724273. The reversal of 42724256 is 65242724.

42724256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1121 + ... + 9311.

It is an arithmetic number, because the mean of its divisors is an integer number (3526656).

Almost surely, 242724256 is an apocalyptic number.

It is an amenable number.

42724256 is a deficient number, since it is larger than the sum of its proper divisors (41915488).

42724256 is a wasteful number, since it uses less digits than its factorization.

42724256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364 (or 8356 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 42724256 is about 6536.3794259513. The cubic root of 42724256 is about 349.5893305780.

The spelling of 42724256 in words is "forty-two million, seven hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 163 326 652 1304 2608 5216 8191 16382 32764 65528 131056 262112 1335133 2670266 5340532 10681064 21362128 42724256