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54508047 = 31143107359
BaseRepresentation
bin1100111111101…
…1101000001111
310210120021222120
43033323220033
5102423224142
65224144023
71231211406
oct317735017
9123507876
1054508047
112884a780
1216308013
13b3a62a9
14734c63d
154bba7ec
hex33fba0f

54508047 has 32 divisors (see below), whose sum is σ = 82114560. Its totient is φ = 31876320.

The previous prime is 54508039. The next prime is 54508061. The reversal of 54508047 is 74080545.

It is not a de Polignac number, because 54508047 - 23 = 54508039 is a prime.

It is a super-2 number, since 2×545080472 = 5942254375508418, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 54507999 and 54508017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54508007) 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 31 ways as a sum of consecutive naturals, for example, 151654 + ... + 152012.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 254508047 is an apocalyptic number.

54508047 is a deficient number, since it is larger than the sum of its proper divisors (27606513).

54508047 is a wasteful number, since it uses less digits than its factorization.

54508047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54508047 is about 7382.9565216111. The cubic root of 54508047 is about 379.1579855732.

The spelling of 54508047 in words is "fifty-four million, five hundred eight thousand, forty-seven".

Divisors: 1 3 11 33 43 107 129 321 359 473 1077 1177 1419 3531 3949 4601 11847 13803 15437 38413 46311 50611 115239 151833 169807 422543 509421 1267629 1651759 4955277 18169349 54508047