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42724611 = 331582393
BaseRepresentation
bin1010001011111…
…0110100000011
32222101122011000
42202332310003
541414141421
64123423043
71026103356
oct242766403
988348130
1042724611
11221316a6
1212384a83
138b0ba47
14596229d
153b3e226
hex28bed03

42724611 has 8 divisors (see below), whose sum is σ = 63295760. Its totient is φ = 28483056.

The previous prime is 42724609. The next prime is 42724657. The reversal of 42724611 is 11642724.

42724611 is a `hidden beast` number, since 4 + 27 + 24 + 611 = 666.

42724611 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 42724611 - 21 = 42724609 is a prime.

It is a super-3 number, since 3×427246113 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1582393 = 42724611 / (4 + 2 + 7 + 2 + 4 + 6 + 1 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42724601) 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 7 ways as a sum of consecutive naturals, for example, 791170 + ... + 791223.

It is an arithmetic number, because the mean of its divisors is an integer number (7911970).

Almost surely, 242724611 is an apocalyptic number.

42724611 is a deficient number, since it is larger than the sum of its proper divisors (20571149).

42724611 is a wasteful number, since it uses less digits than its factorization.

42724611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582402 (or 1582396 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42724611 is about 6536.4065816012. The cubic root of 42724611 is about 349.5902988326.

The spelling of 42724611 in words is "forty-two million, seven hundred twenty-four thousand, six hundred eleven".

Divisors: 1 3 9 27 1582393 4747179 14241537 42724611