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54144126 = 2342831181
BaseRepresentation
bin1100111010001…
…0110001111110
310202212210210000
43032202301332
5102330103001
65212255130
71225134411
oct316426176
9122783700
1054144126
1128621313
12161714a6
13b2a975a
147295b78
154b47a86
hex33a2c7e

54144126 has 40 divisors (see below), whose sum is σ = 121854744. Its totient is φ = 17969040.

The previous prime is 54144121. The next prime is 54144157. The reversal of 54144126 is 62144145.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54144126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54144121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45256 + ... + 46436.

Almost surely, 254144126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54144126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60927372).

54144126 is an abundant number, since it is smaller than the sum of its proper divisors (67710618).

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

54144126 is a wasteful number, since it uses less digits than its factorization.

54144126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1469 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 54144126 is about 7358.2692258438. The cubic root of 54144126 is about 378.3122891687.

The spelling of 54144126 in words is "fifty-four million, one hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 283 566 849 1181 1698 2362 2547 3543 5094 7086 7641 10629 15282 21258 22923 31887 45846 63774 95661 191322 334223 668446 1002669 2005338 3008007 6016014 9024021 18048042 27072063 54144126