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8013429 = 327312197
BaseRepresentation
bin11110100100011001110101
3120002010100200
4132210121311
54022412204
6443431113
7125053524
oct36443165
916063320
108013429
114583676
122825499
131877598
1410c84bb
15a84539
hex7a4675

8013429 has 12 divisors (see below), whose sum is σ = 11734476. Its totient is φ = 5268672.

The previous prime is 8013403. The next prime is 8013433. The reversal of 8013429 is 9243108.

It can be written as a sum of positive squares in 2 ways, for example, as 5130225 + 2883204 = 2265^2 + 1698^2 .

It is a de Polignac number, because none of the positive numbers 2k-8013429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013449) 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 11 ways as a sum of consecutive naturals, for example, 5442 + ... + 6755.

It is an arithmetic number, because the mean of its divisors is an integer number (977873).

Almost surely, 28013429 is an apocalyptic number.

It is an amenable number.

8013429 is a deficient number, since it is larger than the sum of its proper divisors (3721047).

8013429 is a wasteful number, since it uses less digits than its factorization.

8013429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12276 (or 12273 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8013429 is about 2830.8000635863. The cubic root of 8013429 is about 200.1118457743. Note that the first 3 decimals are identical.

The spelling of 8013429 in words is "eight million, thirteen thousand, four hundred twenty-nine".

Divisors: 1 3 9 73 219 657 12197 36591 109773 890381 2671143 8013429