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54417681 = 32471031249
BaseRepresentation
bin1100111110010…
…1100100010001
310210101201000200
43033211210101
5102412331211
65222205413
71230354063
oct317454421
9123351020
1054417681
112879889a
1216283869
13b374116
147327733
154b9db56
hex33e5911

54417681 has 24 divisors (see below), whose sum is σ = 81120000. Its totient is φ = 35133696.

The previous prime is 54417641. The next prime is 54417683. The reversal of 54417681 is 18671445.

It is a happy number.

54417681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54417681 - 210 = 54416657 is a prime.

It is a super-2 number, since 2×544176812 = 5922568010835522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54417683) 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 23 ways as a sum of consecutive naturals, for example, 42945 + ... + 44193.

It is an arithmetic number, because the mean of its divisors is an integer number (3380000).

Almost surely, 254417681 is an apocalyptic number.

It is an amenable number.

54417681 is a deficient number, since it is larger than the sum of its proper divisors (26702319).

54417681 is a wasteful number, since it uses less digits than its factorization.

54417681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1402 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 54417681 is about 7376.8340770279. The cubic root of 54417681 is about 378.9483410398.

It can be divided in two parts, 544 and 17681, that added together give a square (18225 = 1352).

The spelling of 54417681 in words is "fifty-four million, four hundred seventeen thousand, six hundred eighty-one".

Divisors: 1 3 9 47 103 141 309 423 927 1249 3747 4841 11241 14523 43569 58703 128647 176109 385941 528327 1157823 6046409 18139227 54417681