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54384075 = 33522331113
BaseRepresentation
bin1100111101110…
…1010111001011
310210022222221000
43033131113023
5102410242300
65221350043
71230154104
oct317352713
9123288830
1054384075
1128775619
1216268323
13b361a35
1473193ab
154b93c00
hex33dd5cb

54384075 has 96 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 26611200.

The previous prime is 54384059. The next prime is 54384097. The reversal of 54384075 is 57048345.

54384075 is a `hidden beast` number, since 543 + 8 + 40 + 75 = 666.

It is not a de Polignac number, because 54384075 - 24 = 54384059 is a prime.

It is a super-2 number, since 2×543840752 = 5915255227211250, which contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 481219 + ... + 481331.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 254384075 is an apocalyptic number.

54384075 is a deficient number, since it is larger than the sum of its proper divisors (54180405).

54384075 is a wasteful number, since it uses less digits than its factorization.

54384075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 54384075 is about 7374.5559188334. Note that the first 3 decimals coincide. The cubic root of 54384075 is about 378.8703176221.

The spelling of 54384075 in words is "fifty-four million, three hundred eighty-four thousand, seventy-five".

Divisors: 1 3 5 9 15 23 25 27 31 45 69 75 93 113 115 135 155 207 225 279 339 345 465 565 575 621 675 713 775 837 1017 1035 1395 1695 1725 2139 2325 2599 2825 3051 3105 3503 3565 4185 5085 5175 6417 6975 7797 8475 10509 10695 12995 15255 15525 17515 17825 19251 20925 23391 25425 31527 32085 38985 52545 53475 64975 70173 76275 80569 87575 94581 96255 116955 157635 160425 194925 241707 262725 350865 402845 472905 481275 584775 725121 788175 1208535 1754325 2014225 2175363 2364525 3625605 6042675 10876815 18128025 54384075