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54405351 = 3471121361
BaseRepresentation
bin1100111110001…
…0100011100111
310210101002010000
43033202203213
5102411432401
65222032343
71230303120
oct317424347
9123332100
1054405351
112878a600
12162786b3
13b36b620
147323047
154b9a186
hex33e28e7

54405351 has 120 divisors (see below), whose sum is σ = 111749792. Its totient is φ = 25660800.

The previous prime is 54405331. The next prime is 54405353. The reversal of 54405351 is 15350445.

It is not a de Polignac number, because 54405351 - 213 = 54397159 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54405353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 891861 + ... + 891921.

Almost surely, 254405351 is an apocalyptic number.

54405351 is an abundant number, since it is smaller than the sum of its proper divisors (57344441).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54405351 is a wasteful number, since it uses less digits than its factorization.

54405351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 54405351 is about 7375.9983053143. The cubic root of 54405351 is about 378.9197180757.

Adding to 54405351 its reverse (15350445), we get a palindrome (69755796).

It can be divided in two parts, 54405 and 351, that added together give a square (54756 = 2342).

The spelling of 54405351 in words is "fifty-four million, four hundred five thousand, three hundred fifty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 61 63 77 81 91 99 117 121 143 183 189 231 273 297 351 363 427 429 549 567 671 693 793 819 847 891 1001 1053 1089 1281 1287 1573 1647 2013 2079 2379 2457 2541 3003 3267 3843 3861 4697 4719 4941 5551 6039 6237 7137 7371 7381 7623 8723 9009 9801 11011 11529 11583 14091 14157 16653 18117 21411 22143 22869 26169 27027 33033 34587 42273 42471 49959 51667 54351 61061 64233 66429 68607 78507 81081 95953 99099 126819 127413 149877 155001 183183 199287 235521 287859 297297 380457 449631 465003 549549 597861 671671 706563 863577 891891 1395009 1648647 2015013 2590731 4185027 4945941 6045039 7772193 18135117 54405351