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42605871 = 3711184441
BaseRepresentation
bin1010001010000…
…1110100101111
32222011121021020
42202201310233
541401341441
64121105223
71025100240
oct242416457
988147236
1042605871
1122060470
1212328213
138a99999
145930cc7
153b18e66
hex28a1d2f

42605871 has 16 divisors (see below), whose sum is σ = 70825728. Its totient is φ = 22132800.

The previous prime is 42605869. The next prime is 42605879. The reversal of 42605871 is 17850624.

42605871 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42605871 - 21 = 42605869 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42605879) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91990 + ... + 92451.

It is an arithmetic number, because the mean of its divisors is an integer number (4426608).

Almost surely, 242605871 is an apocalyptic number.

42605871 is a deficient number, since it is larger than the sum of its proper divisors (28219857).

42605871 is a wasteful number, since it uses less digits than its factorization.

42605871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184462.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 42605871 is about 6527.3172896681. The cubic root of 42605871 is about 349.2661385441.

The spelling of 42605871 in words is "forty-two million, six hundred five thousand, eight hundred seventy-one".

Divisors: 1 3 7 11 21 33 77 231 184441 553323 1291087 2028851 3873261 6086553 14201957 42605871