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42742701 = 334313673
BaseRepresentation
bin1010001100001…
…1001110101101
32222102112222000
42203003032231
541420231301
64124042513
71026210201
oct243031655
988375860
1042742701
1122144251
1212393439
138b17051
145968b01
153b44786
hex28c33ad

42742701 has 16 divisors (see below), whose sum is σ = 63486720. Its totient is φ = 28421280.

The previous prime is 42742699. The next prime is 42742703. The reversal of 42742701 is 10724724.

It is a happy number.

42742701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42742699) and next prime (42742703).

It is not a de Polignac number, because 42742701 - 21 = 42742699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42742703) 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, 9801 + ... + 13473.

It is an arithmetic number, because the mean of its divisors is an integer number (3967920).

Almost surely, 242742701 is an apocalyptic number.

It is an amenable number.

42742701 is a deficient number, since it is larger than the sum of its proper divisors (20744019).

42742701 is a wasteful number, since it uses less digits than its factorization.

42742701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 42742701 is about 6537.7902230035. The cubic root of 42742701 is about 349.6396318049.

The spelling of 42742701 in words is "forty-two million, seven hundred forty-two thousand, seven hundred one".

Divisors: 1 3 9 27 431 1293 3673 3879 11019 11637 33057 99171 1583063 4749189 14247567 42742701