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54621105 = 35711192131
BaseRepresentation
bin1101000001011…
…1001110110001
310210210001001220
43100113032301
5102440333410
65230415253
71232162130
oct320271661
9123701056
1054621105
1128917710
1216361529
13b4158a6
14737b917
154bde070
hex34173b1

54621105 has 96 divisors (see below), whose sum is σ = 115872768. Its totient is φ = 21340800.

The previous prime is 54621089. The next prime is 54621107. The reversal of 54621105 is 50112645.

54621105 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 54621105 - 24 = 54621089 is a prime.

It is a super-2 number, since 2×546211052 = 5966930222842050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54621107) 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 95 ways as a sum of consecutive naturals, for example, 416890 + ... + 417020.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 254621105 is an apocalyptic number.

54621105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54621105 is an abundant number, since it is smaller than the sum of its proper divisors (61251663).

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

54621105 is a wasteful number, since it uses less digits than its factorization.

54621105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 54621105 is about 7390.6092441693. The cubic root of 54621105 is about 379.4199483631.

The spelling of 54621105 in words is "fifty-four million, six hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 131 133 165 209 231 285 361 385 393 399 627 655 665 917 1045 1083 1155 1441 1463 1805 1965 1995 2489 2527 2751 3135 3971 4323 4389 4585 5415 7205 7315 7467 7581 10087 11913 12445 12635 13755 17423 19855 21615 21945 27379 27797 30261 37335 37905 47291 50435 52269 59565 82137 83391 87115 136895 138985 141873 151305 191653 236455 261345 331037 410685 416955 520201 574959 709365 958265 993111 1560603 1655185 2601005 2874795 3641407 4965555 7803015 10924221 18207035 54621105