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52277225 = 52711132089
BaseRepresentation
bin1100011101101…
…0111111101001
310122100221212112
43013122333221
5101340332400
65104252105
71203230510
oct307327751
9118327775
1052277225
1127566720
1215611035
13aaa4a90
146d2b677
1548c9835
hex31dafe9

52277225 has 48 divisors (see below), whose sum is σ = 87077760. Its totient is φ = 30067200.

The previous prime is 52277213. The next prime is 52277231.

52277225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52277225 - 26 = 52277161 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52277191 and 52277200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23981 + ... + 26069.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 252277225 is an apocalyptic number.

52277225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52277225 is a deficient number, since it is larger than the sum of its proper divisors (34800535).

52277225 is a wasteful number, since it uses less digits than its factorization.

52277225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2125 counting only the distinct ones).

The product of its digits is 19600, while the sum is 32.

The square root of 52277225 is about 7230.2990947816. The cubic root of 52277225 is about 373.9132387610.

The spelling of 52277225 in words is "fifty-two million, two hundred seventy-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 715 1001 1925 2089 2275 3575 5005 10445 14623 22979 25025 27157 52225 73115 114895 135785 160853 190099 298727 365575 574475 678925 804265 950495 1493635 2091089 4021325 4752475 7468175 10455445 52277225