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51688806 = 23131722293
BaseRepresentation
bin1100010100101…
…1010101100110
310121021001201020
43011023111212
5101213020211
65043512010
71165230141
oct305132546
9117231636
1051688806
11271a4624
1215388606
13a929cc0
146c17058
154810306
hex314b566

51688806 has 48 divisors (see below), whose sum is σ = 118315344. Its totient is φ = 14962176.

The previous prime is 51688771. The next prime is 51688807. The reversal of 51688806 is 60888615.

51688806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51688807) 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 23 ways as a sum of consecutive naturals, for example, 21396 + ... + 23688.

It is an arithmetic number, because the mean of its divisors is an integer number (2464903).

Almost surely, 251688806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51688806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59157672).

51688806 is an abundant number, since it is smaller than the sum of its proper divisors (66626538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51688806 is a wasteful number, since it uses less digits than its factorization.

51688806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 51688806 is about 7189.4927498399. The cubic root of 51688806 is about 372.5050516559.

The spelling of 51688806 in words is "fifty-one million, six hundred eighty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 442 578 663 867 1326 1734 2293 3757 4586 6879 7514 11271 13758 22542 29809 38981 59618 77962 89427 116943 178854 233886 506753 662677 1013506 1325354 1520259 1988031 3040518 3976062 8614801 17229602 25844403 51688806