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51628149 = 3219292359
BaseRepresentation
bin1100010011110…
…0100001110101
310121010222111200
43010330201311
5101204100044
65042323113
71164555246
oct304744165
9117128450
1051628149
1127162aa1
1215359499
13a908501
146bdcccd
1547ec369
hex313c875

51628149 has 36 divisors (see below), whose sum is σ = 81525600. Its totient is φ = 31395168.

The previous prime is 51628141. The next prime is 51628163. The reversal of 51628149 is 94182615.

51628149 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 51628149 - 23 = 51628141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51628141) 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 35 ways as a sum of consecutive naturals, for example, 143632 + ... + 143990.

It is an arithmetic number, because the mean of its divisors is an integer number (2264600).

Almost surely, 251628149 is an apocalyptic number.

It is an amenable number.

51628149 is a deficient number, since it is larger than the sum of its proper divisors (29897451).

51628149 is a wasteful number, since it uses less digits than its factorization.

51628149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 410 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 51628149 is about 7185.2730637047. The cubic root of 51628149 is about 372.3592826143.

The spelling of 51628149 in words is "fifty-one million, six hundred twenty-eight thousand, one hundred forty-nine".

Divisors: 1 3 9 19 29 57 87 171 261 359 551 841 1077 1653 2523 3231 4959 6821 7569 10411 15979 20463 31233 47937 61389 93699 143811 197809 301919 593427 905757 1780281 2717271 5736461 17209383 51628149