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55106541 = 337291569
BaseRepresentation
bin1101001000110…
…1101111101101
310211200200222000
43102031233231
5103101402131
65245042513
71236253320
oct322155755
9124620860
1055106541
11291193a6
1216556439
13b555829
1474667b7
154c87ce6
hex348dbed

55106541 has 16 divisors (see below), whose sum is σ = 93302400. Its totient is φ = 31489344.

The previous prime is 55106507. The next prime is 55106581. The reversal of 55106541 is 14560155.

It is a happy number.

55106541 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 654 + 1 = 666.

It is not a de Polignac number, because 55106541 - 215 = 55073773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55106581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145596 + ... + 145973.

It is an arithmetic number, because the mean of its divisors is an integer number (5831400).

Almost surely, 255106541 is an apocalyptic number.

It is an amenable number.

55106541 is a deficient number, since it is larger than the sum of its proper divisors (38195859).

55106541 is a wasteful number, since it uses less digits than its factorization.

55106541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291585 (or 291579 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 55106541 is about 7423.3780046553. The cubic root of 55106541 is about 380.5406454819.

Adding to 55106541 its reverse (14560155), we get a palindrome (69666696).

The spelling of 55106541 in words is "fifty-five million, one hundred six thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 291569 874707 2040983 2624121 6122949 7872363 18368847 55106541