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54466144 = 251938819
BaseRepresentation
bin1100111111000…
…1011001100000
310210111011111121
43033301121200
5102420404034
65223222024
71230645265
oct317613140
9123434447
1054466144
1128821247
12162a7914
13b3901b5
14733b26c
154bad1b4
hex33f1660

54466144 has 24 divisors (see below), whose sum is σ = 107798040. Its totient is φ = 27088896.

The previous prime is 54466127. The next prime is 54466157. The reversal of 54466144 is 44166445.

54466144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1767 + ... + 10585.

It is an arithmetic number, because the mean of its divisors is an integer number (4491585).

Almost surely, 254466144 is an apocalyptic number.

It is an amenable number.

54466144 is a deficient number, since it is larger than the sum of its proper divisors (53331896).

54466144 is a wasteful number, since it uses less digits than its factorization.

54466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022 (or 9014 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 54466144 is about 7380.1181562357. The cubic root of 54466144 is about 379.0608015735.

The spelling of 54466144 in words is "fifty-four million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 193 386 772 1544 3088 6176 8819 17638 35276 70552 141104 282208 1702067 3404134 6808268 13616536 27233072 54466144