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42727347 = 32131073413
BaseRepresentation
bin1010001011111…
…1011110110011
32222101202220100
42202333132303
541414233342
64123443443
71026114345
oct242773663
988352810
1042727347
1122133763
1212386583
138b10070
145963295
153b3ee4c
hex28bf7b3

42727347 has 24 divisors (see below), whose sum is σ = 67105584. Its totient is φ = 26040384.

The previous prime is 42727319. The next prime is 42727361. The reversal of 42727347 is 74372724.

It is not a de Polignac number, because 42727347 - 212 = 42723251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42727147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10813 + ... + 14225.

It is an arithmetic number, because the mean of its divisors is an integer number (2796066).

Almost surely, 242727347 is an apocalyptic number.

42727347 is a deficient number, since it is larger than the sum of its proper divisors (24378237).

42727347 is a wasteful number, since it uses less digits than its factorization.

42727347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3536 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 42727347 is about 6536.6158675572. The cubic root of 42727347 is about 349.5977610315.

The spelling of 42727347 in words is "forty-two million, seven hundred twenty-seven thousand, three hundred forty-seven".

Divisors: 1 3 9 13 39 107 117 321 963 1391 3413 4173 10239 12519 30717 44369 133107 365191 399321 1095573 3286719 4747483 14242449 42727347