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54144420 = 22351182037
BaseRepresentation
bin1100111010001…
…0110110100100
310202212211011220
43032202312210
5102330110140
65212300340
71225135311
oct316426644
9122784156
1054144420
1128621560
12161716b0
13b2a9925
147295d08
154b47bd0
hex33a2da4

54144420 has 48 divisors (see below), whose sum is σ = 165388608. Its totient is φ = 13125760.

The previous prime is 54144401. The next prime is 54144427. The reversal of 54144420 is 2444145.

It is a happy number.

54144420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54144427) 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 15 ways as a sum of consecutive naturals, for example, 40359 + ... + 41678.

It is an arithmetic number, because the mean of its divisors is an integer number (3445596).

Almost surely, 254144420 is an apocalyptic number.

It is an amenable number.

54144420 is an abundant number, since it is smaller than the sum of its proper divisors (111244188).

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

54144420 is a wasteful number, since it uses less digits than its factorization.

54144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82060 (or 82058 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 54144420 is about 7358.2892033407. The cubic root of 54144420 is about 378.3129739066.

Adding to 54144420 its reverse (2444145), we get a palindrome (56588565).

The spelling of 54144420 in words is "fifty-four million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 82037 164074 246111 328148 410185 492222 820370 902407 984444 1230555 1640740 1804814 2461110 2707221 3609628 4512035 4922220 5414442 9024070 10828884 13536105 18048140 27072210 54144420