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8742129 = 311224083
BaseRepresentation
bin100001010110…
…010011110001
3121110010221120
4201112103301
54214222004
6511212453
7134210154
oct41262361
917403846
108742129
114a31100
122b17129
131a71176
141237c9b
15b7a3d9
hex8564f1

8742129 has 12 divisors (see below), whose sum is σ = 12812688. Its totient is φ = 5298040.

The previous prime is 8742121. The next prime is 8742133. The reversal of 8742129 is 9212478.

It is a happy number.

It is not a de Polignac number, because 8742129 - 23 = 8742121 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8742129.

It is not an unprimeable number, because it can be changed into a prime (8742121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11679 + ... + 12404.

It is an arithmetic number, because the mean of its divisors is an integer number (1067724).

Almost surely, 28742129 is an apocalyptic number.

It is an amenable number.

8742129 is a deficient number, since it is larger than the sum of its proper divisors (4070559).

8742129 is a wasteful number, since it uses less digits than its factorization.

8742129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24108 (or 24097 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 8742129 is about 2956.7091503900. The cubic root of 8742129 is about 206.0024585750.

It can be divided in two parts, 874 and 2129, that added together give a palindrome (3003).

The spelling of 8742129 in words is "eight million, seven hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 3 11 33 121 363 24083 72249 264913 794739 2914043 8742129