Search a number
-
+
51874688 = 27596869
BaseRepresentation
bin1100010111100…
…0101110000000
310121121111200202
43011320232000
5101234442223
65051504332
71166633105
oct305705600
9117544622
1051874688
1127311248
12154580a8
13a9937a8
146c64aac
15484a428
hex3178b80

51874688 has 32 divisors (see below), whose sum is σ = 105111000. Its totient is φ = 25494016.

The previous prime is 51874681. The next prime is 51874741. The reversal of 51874688 is 88647815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51874681) 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 3 ways as a sum of consecutive naturals, for example, 4118 + ... + 10986.

Almost surely, 251874688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52555500).

51874688 is an abundant number, since it is smaller than the sum of its proper divisors (53236312).

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

51874688 is an equidigital number, since it uses as much as digits as its factorization.

51874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6930 counting only the distinct ones).

The product of its digits is 430080, while the sum is 47.

The square root of 51874688 is about 7202.4084860552. The cubic root of 51874688 is about 372.9510485921.

The spelling of 51874688 in words is "fifty-one million, eight hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 472 944 1888 3776 6869 7552 13738 27476 54952 109904 219808 405271 439616 810542 879232 1621084 3242168 6484336 12968672 25937344 51874688