Search a number
-
+
54160272 = 2433125371
BaseRepresentation
bin1100111010011…
…0101110010000
310202220121221000
43032212232100
5102331112042
65212502000
71225232445
oct316465620
9122817830
1054160272
1128632461
121617a900
13b2b3bca
14729b9cc
154b4c74c
hex33a6b90

54160272 has 40 divisors (see below), whose sum is σ = 155461280. Its totient is φ = 18053280.

The previous prime is 54160259. The next prime is 54160273. The reversal of 54160272 is 27206145.

54160272 is a `hidden beast` number, since 54 + 1 + 602 + 7 + 2 = 666.

54160272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541602722 = 5866670126227968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (54160273) 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 7 ways as a sum of consecutive naturals, for example, 62254 + ... + 63117.

It is an arithmetic number, because the mean of its divisors is an integer number (3886532).

Almost surely, 254160272 is an apocalyptic number.

It is an amenable number.

54160272 is an abundant number, since it is smaller than the sum of its proper divisors (101301008).

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

54160272 is a wasteful number, since it uses less digits than its factorization.

54160272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125388 (or 125376 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 54160272 is about 7359.3662770649. The cubic root of 54160272 is about 378.3498901891.

The spelling of 54160272 in words is "fifty-four million, one hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 125371 250742 376113 501484 752226 1002968 1128339 1504452 2005936 2256678 3008904 3385017 4513356 6017808 6770034 9026712 13540068 18053424 27080136 54160272