Search a number
-
+
52628472 = 23321359953
BaseRepresentation
bin1100100011000…
…0101111111000
310200000210200200
43020300233320
5101433102342
65120002200
71206222531
oct310605770
9120023620
1052628472
1127786606
1215760360
13ab98910
146dbd688
15494894c
hex3230bf8

52628472 has 96 divisors (see below), whose sum is σ = 156265200. Its totient is φ = 15902208.

The previous prime is 52628453. The next prime is 52628473. The reversal of 52628472 is 27482625.

52628472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52628473) 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, 54748 + ... + 55700.

Almost surely, 252628472 is an apocalyptic number.

52628472 is a gapful number since it is divisible by the number (52) 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 52628472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78132600).

52628472 is an abundant number, since it is smaller than the sum of its proper divisors (103636728).

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

52628472 is a wasteful number, since it uses less digits than its factorization.

52628472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 52628472 is about 7254.5483663699. The cubic root of 52628472 is about 374.7488024370.

The spelling of 52628472 in words is "fifty-two million, six hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 177 234 236 312 354 468 472 531 708 767 936 953 1062 1416 1534 1906 2124 2301 2859 3068 3812 4248 4602 5718 6136 6903 7624 8577 9204 11436 12389 13806 17154 18408 22872 24778 27612 34308 37167 49556 55224 56227 68616 74334 99112 111501 112454 148668 168681 223002 224908 297336 337362 446004 449816 506043 674724 730951 892008 1012086 1349448 1461902 2024172 2192853 2923804 4048344 4385706 5847608 6578559 8771412 13157118 17542824 26314236 52628472