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52633728 = 2732761107
BaseRepresentation
bin1100100011001…
…0000010000000
310200001001220100
43020302002000
5101433234403
65120042400
71206244050
oct310620200
9120031810
1052633728
112778a554
1215763400
13ab9b124
146dc1560
15494a2a3
hex3232080

52633728 has 192 divisors, whose sum is σ = 177577920. Its totient is φ = 14653440.

The previous prime is 52633699. The next prime is 52633733. The reversal of 52633728 is 82733625.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×526337283 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 52633692 and 52633701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491851 + ... + 491957.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 252633728 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 52633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

52633728 is an abundant number, since it is smaller than the sum of its proper divisors (124944192).

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

52633728 is a wasteful number, since it uses less digits than its factorization.

52633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 52633728 is about 7254.9106128194. The cubic root of 52633728 is about 374.7612773963.

It can be divided in two parts, 52633 and 728, that added together give a square (53361 = 2312).

The spelling of 52633728 in words is "fifty-two million, six hundred thirty-three thousand, seven hundred twenty-eight".