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54348541 = 1321718917
BaseRepresentation
bin1100111101010…
…0101011111101
310210021012011221
43033110223331
5102403123131
65220513341
71226645362
oct317245375
9123235157
1054348541
1128750955
121624b851
13b34b800
14730a469
154b88411
hex33d4afd

54348541 has 12 divisors (see below), whose sum is σ = 62315892. Its totient is φ = 47214336.

The previous prime is 54348529. The next prime is 54348551. The reversal of 54348541 is 14584345.

It can be written as a sum of positive squares in 6 ways, for example, as 326041 + 54022500 = 571^2 + 7350^2 .

It is not a de Polignac number, because 54348541 - 25 = 54348509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54348497 and 54348506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54348521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6586 + ... + 12331.

It is an arithmetic number, because the mean of its divisors is an integer number (5192991).

Almost surely, 254348541 is an apocalyptic number.

It is an amenable number.

54348541 is a deficient number, since it is larger than the sum of its proper divisors (7967351).

54348541 is a wasteful number, since it uses less digits than its factorization.

54348541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18960 (or 18947 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

The square root of 54348541 is about 7372.1462953471. The cubic root of 54348541 is about 378.7877829764.

The spelling of 54348541 in words is "fifty-four million, three hundred forty-eight thousand, five hundred forty-one".

Divisors: 1 13 17 169 221 2873 18917 245921 321589 3196973 4180657 54348541