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2728629 = 321372213
BaseRepresentation
bin1010011010001010110101
312010121222100
422122022311
51144304004
6134252313
732123121
oct12321265
95117870
102728629
1115a4072
12ab7099
13746c97
14510581
1538d739
hex29a2b5

2728629 has 12 divisors (see below), whose sum is σ = 3971916. Its totient is φ = 1804992.

The previous prime is 2728603. The next prime is 2728631. The reversal of 2728629 is 9268272.

2728629 is a `hidden beast` number, since 2 + 7 + 28 + 629 = 666.

2728629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2331729 + 396900 = 1527^2 + 630^2 .

It is not a de Polignac number, because 2728629 - 28 = 2728373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2728593 and 2728602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728669) 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, 127 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (330993).

22728629 is an apocalyptic number.

It is an amenable number.

2728629 is a deficient number, since it is larger than the sum of its proper divisors (1243287).

2728629 is a wasteful number, since it uses less digits than its factorization.

2728629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2353 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2728629 is about 1651.8562286107. The cubic root of 2728629 is about 139.7380987963.

The spelling of 2728629 in words is "two million, seven hundred twenty-eight thousand, six hundred twenty-nine".

Divisors: 1 3 9 137 411 1233 2213 6639 19917 303181 909543 2728629