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53122277 = 132615153
BaseRepresentation
bin1100101010100…
…1010011100101
310200221220001202
43022221103211
5102044403102
65134332245
71213350305
oct312512345
9120856052
1053122277
1127a9360a
121595a085
13b00c600
1470ab605
1549e4e02
hex32a94e5

53122277 has 12 divisors (see below), whose sum is σ = 58477284. Its totient is φ = 48222720.

The previous prime is 53122261. The next prime is 53122327. The reversal of 53122277 is 77222135.

53122277 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18241441 + 34880836 = 4271^2 + 5906^2 .

It is not a de Polignac number, because 53122277 - 24 = 53122261 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53122217) 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 11 ways as a sum of consecutive naturals, for example, 7733 + ... + 12885.

It is an arithmetic number, because the mean of its divisors is an integer number (4873107).

Almost surely, 253122277 is an apocalyptic number.

It is an amenable number.

53122277 is a deficient number, since it is larger than the sum of its proper divisors (5355007).

53122277 is a wasteful number, since it uses less digits than its factorization.

53122277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5227 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 53122277 is about 7288.5030699040. The cubic root of 53122277 is about 375.9172261017.

The spelling of 53122277 in words is "fifty-three million, one hundred twenty-two thousand, two hundred seventy-seven".

Divisors: 1 13 61 169 793 5153 10309 66989 314333 870857 4086329 53122277