Search a number
-
+
52800132 = 22371157143
BaseRepresentation
bin1100100101101…
…0101010000100
310200100112011110
43021122222010
5102004101012
65123405020
71210536150
oct311325204
9120315143
1052800132
1127893580
1215823770
13ac28aa8
147026060
15497e73c
hex325aa84

52800132 has 48 divisors (see below), whose sum is σ = 153603072. Its totient is φ = 13714080.

The previous prime is 52800089. The next prime is 52800133. The reversal of 52800132 is 23100825.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 52800099 and 52800108.

It is not an unprimeable number, because it can be changed into a prime (52800133) 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 15 ways as a sum of consecutive naturals, for example, 27648 + ... + 29495.

It is an arithmetic number, because the mean of its divisors is an integer number (3200064).

Almost surely, 252800132 is an apocalyptic number.

It is an amenable number.

52800132 is an abundant number, since it is smaller than the sum of its proper divisors (100802940).

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

52800132 is a wasteful number, since it uses less digits than its factorization.

52800132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57168 (or 57166 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52800132 is about 7266.3699327794. The cubic root of 52800132 is about 375.1558037027.

Adding to 52800132 its reverse (23100825), we get a palindrome (75900957).

It can be divided in two parts, 52800 and 132, that multiplied together give a square (6969600 = 26402).

The spelling of 52800132 in words is "fifty-two million, eight hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 57143 114286 171429 228572 342858 400001 628573 685716 800002 1200003 1257146 1600004 1885719 2400006 2514292 3771438 4400011 4800012 7542876 8800022 13200033 17600044 26400066 52800132