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54144276 = 22329157991
BaseRepresentation
bin1100111010001…
…0110100010100
310202212210222120
43032202310110
5102330104101
65212255540
71225135014
oct316426424
9122783876
1054144276
112862143a
12161715b0
13b2a9844
147295c44
154b47b36
hex33a2d14

54144276 has 48 divisors (see below), whose sum is σ = 131658240. Its totient is φ = 17297280.

The previous prime is 54144263. The next prime is 54144287. The reversal of 54144276 is 67244145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54141 + ... + 55131.

It is an arithmetic number, because the mean of its divisors is an integer number (2742880).

Almost surely, 254144276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54144276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65829120).

54144276 is an abundant number, since it is smaller than the sum of its proper divisors (77513964).

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

54144276 is a wasteful number, since it uses less digits than its factorization.

54144276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 54144276 is about 7358.2794184510. The cubic root of 54144276 is about 378.3126385251.

The spelling of 54144276 in words is "fifty-four million, one hundred forty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 157 174 314 348 471 628 942 991 1884 1982 2973 3964 4553 5946 9106 11892 13659 18212 27318 28739 54636 57478 86217 114956 155587 172434 311174 344868 466761 622348 933522 1867044 4512023 9024046 13536069 18048092 27072138 54144276