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42727641 = 3112313797
BaseRepresentation
bin1010001011111…
…1100011011001
32222101210022020
42202333203121
541414241031
64123445053
71026115245
oct242774331
988353266
1042727641
1122133a00
1212386789
138b10238
145963425
153b40096
hex28bf8d9

42727641 has 24 divisors (see below), whose sum is σ = 64657152. Its totient is φ = 25053600.

The previous prime is 42727631. The next prime is 42727649. The reversal of 42727641 is 14672724.

It is not a de Polignac number, because 42727641 - 25 = 42727609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42727649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9355 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (2694048).

Almost surely, 242727641 is an apocalyptic number.

It is an amenable number.

42727641 is a deficient number, since it is larger than the sum of its proper divisors (21929511).

42727641 is a wasteful number, since it uses less digits than its factorization.

42727641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3842 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 42727641 is about 6536.6383562195. The cubic root of 42727641 is about 349.5985628717.

The spelling of 42727641 in words is "forty-two million, seven hundred twenty-seven thousand, six hundred forty-one".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 3797 11253 11391 41767 117707 125301 353121 459437 1294777 1378311 3884331 14242547 42727641