Search a number
-
+
51888384 = 28337507
BaseRepresentation
bin1100010111110…
…0000100000000
310121122012111000
43011330010000
5101240412014
65052052000
71200021042
oct305740400
9117565430
1051888384
1127320569
1215464000
13a999ab2
146c69a92
15484e509
hex317c100

51888384 has 72 divisors (see below), whose sum is σ = 153463520. Its totient is φ = 17293824.

The previous prime is 51888383. The next prime is 51888407. The reversal of 51888384 is 48388815.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (51888383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3159 + ... + 10665.

Almost surely, 251888384 is an apocalyptic number.

51888384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76731760).

51888384 is an abundant number, since it is smaller than the sum of its proper divisors (101575136).

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

51888384 is an equidigital number, since it uses as much as digits as its factorization.

51888384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7512 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 51888384 is about 7203.3592163657. The cubic root of 51888384 is about 372.9838679901.

The spelling of 51888384 in words is "fifty-one million, eight hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 7507 15014 22521 30028 45042 60056 67563 90084 120112 135126 180168 202689 240224 270252 360336 405378 480448 540504 720672 810756 960896 1081008 1441344 1621512 1921792 2162016 2882688 3243024 4324032 5765376 6486048 8648064 12972096 17296128 25944192 51888384