Search a number
-
+
54144414 = 23219315107
BaseRepresentation
bin1100111010001…
…0110110011110
310202212211011200
43032202312132
5102330110124
65212300330
71225135302
oct316426636
9122784150
1054144414
1128621555
12161716a6
13b2a991c
147295d02
154b47bc9
hex33a2d9e

54144414 has 48 divisors (see below), whose sum is σ = 127495680. Its totient is φ = 16543440.

The previous prime is 54144401. The next prime is 54144427. The reversal of 54144414 is 41444145.

It is an interprime number because it is at equal distance from previous prime (54144401) and next prime (54144427).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8049 + ... + 13155.

It is an arithmetic number, because the mean of its divisors is an integer number (2656160).

Almost surely, 254144414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54144414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63747840).

54144414 is an abundant number, since it is smaller than the sum of its proper divisors (73351266).

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

54144414 is a wasteful number, since it uses less digits than its factorization.

54144414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5162 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 54144414 is about 7358.2887956372. The cubic root of 54144414 is about 378.3129599324.

Adding to 54144414 its reverse (41444145), we get a palindrome (95588559).

The spelling of 54144414 in words is "fifty-four million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5107 5301 10214 10602 15321 30642 45963 91926 97033 158317 194066 291099 316634 474951 582198 873297 949902 1424853 1746594 2849706 3008023 6016046 9024069 18048138 27072207 54144414