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42683301 = 331938191
BaseRepresentation
bin1010001011010…
…0101110100101
32222022112111000
42202310232211
541411331201
64122503513
71025542053
oct242645645
988275430
1042683301
1122103661
1212364b99
138ac5cbb
1459511d3
153b31d86
hex28b4ba5

42683301 has 16 divisors (see below), whose sum is σ = 63569920. Its totient is φ = 28304640.

The previous prime is 42683299. The next prime is 42683339. The reversal of 42683301 is 10338624.

It is a happy number.

42683301 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 42683301 - 21 = 42683299 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683341) 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, 1116 + ... + 9306.

It is an arithmetic number, because the mean of its divisors is an integer number (3973120).

Almost surely, 242683301 is an apocalyptic number.

It is an amenable number.

42683301 is a deficient number, since it is larger than the sum of its proper divisors (20886619).

42683301 is a wasteful number, since it uses less digits than its factorization.

42683301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42683301 is about 6533.2458242439. The cubic root of 42683301 is about 349.4775907089.

It can be divided in two parts, 4268 and 3301, that added together give a square (7569 = 872).

The spelling of 42683301 in words is "forty-two million, six hundred eighty-three thousand, three hundred one".

Divisors: 1 3 9 27 193 579 1737 5211 8191 24573 73719 221157 1580863 4742589 14227767 42683301