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54329 = 112449
BaseRepresentation
bin1101010000111001
32202112012
431100321
53214304
61055305
7314252
oct152071
982465
1054329
1137900
1227535
131b962
1415b29
151116e
hexd439

54329 has 6 divisors (see below), whose sum is σ = 59850. Its totient is φ = 49280.

The previous prime is 54323. The next prime is 54331. The reversal of 54329 is 92345.

54329 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 only one way, i.e., 48400 + 5929 = 220^2 + 77^2 .

It is a de Polignac number, because none of the positive numbers 2k-54329 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 53 + 45 + 39 + 215 + 93 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

254329 is an apocalyptic number.

It is an amenable number.

54329 is a deficient number, since it is larger than the sum of its proper divisors (5521).

54329 is a wasteful number, since it uses less digits than its factorization.

54329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 54329 is about 233.0858211046. The cubic root of 54329 is about 37.8742379860.

It can be divided in two parts, 54 and 329, that multiplied together give a triangular number (17766 = T188).

The spelling of 54329 in words is "fifty-four thousand, three hundred twenty-nine".

Divisors: 1 11 121 449 4939 54329