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54142144 = 267177109
BaseRepresentation
bin1100111010001…
…0010011000000
310202212201001121
43032202103000
5102330022034
65212242024
71225125550
oct316422300
9122781047
1054142144
112861a881
1216170314
13b2a8894
147295160
154b471b4
hex33a24c0

54142144 has 56 divisors (see below), whose sum is σ = 130027680. Its totient is φ = 21835776.

The previous prime is 54142141. The next prime is 54142147. The reversal of 54142144 is 44124145.

It is an interprime number because it is at equal distance from previous prime (54142141) and next prime (54142147).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (54142141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4062 + ... + 11170.

Almost surely, 254142144 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 54142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65013840).

54142144 is an abundant number, since it is smaller than the sum of its proper divisors (75885536).

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

54142144 is a wasteful number, since it uses less digits than its factorization.

54142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7145 (or 7135 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 54142144 is about 7358.1345462012. The cubic root of 54142144 is about 378.3076729455.

Adding to 54142144 its reverse (44124145), we get a palindrome (98266289).

The spelling of 54142144 in words is "fifty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7109 7616 14218 28436 49763 56872 99526 113744 120853 199052 227488 241706 398104 454976 483412 796208 845971 966824 1592416 1691942 1933648 3184832 3383884 3867296 6767768 7734592 13535536 27071072 54142144