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53901 = 3253113
BaseRepresentation
bin1101001010001101
32201221100
431022031
53211101
61053313
7313101
oct151215
981840
1053901
1137551
1227239
131b6c3
1415901
1510e86
hexd28d

53901 has 12 divisors (see below), whose sum is σ = 80028. Its totient is φ = 34944.

The previous prime is 53899. The next prime is 53917. The reversal of 53901 is 10935.

53901 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 38025 = 126^2 + 195^2 .

It is not a de Polignac number, because 53901 - 21 = 53899 is a prime.

53901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

253901 is an apocalyptic number.

It is an amenable number.

53901 is a deficient number, since it is larger than the sum of its proper divisors (26127).

53901 is a wasteful number, since it uses less digits than its factorization.

53901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 53901 is about 232.1658889674. The cubic root of 53901 is about 37.7745188141.

The spelling of 53901 in words is "fifty-three thousand, nine hundred one".

Divisors: 1 3 9 53 113 159 339 477 1017 5989 17967 53901