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54330144 = 2531151449
BaseRepresentation
bin1100111101000…
…0001100100000
310210020020221120
43033100030200
5102402031034
65220252240
71226540631
oct317201440
9123206846
1054330144
1128739050
1216241080
13b34331b
147303888
154b82c49
hex33d0320

54330144 has 48 divisors (see below), whose sum is σ = 155584800. Its totient is φ = 16463360.

The previous prime is 54330127. The next prime is 54330149. The reversal of 54330144 is 44103345.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54330149) 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, 24669 + ... + 26780.

It is an arithmetic number, because the mean of its divisors is an integer number (3241350).

Almost surely, 254330144 is an apocalyptic number.

It is an amenable number.

54330144 is an abundant number, since it is smaller than the sum of its proper divisors (101254656).

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

54330144 is a wasteful number, since it uses less digits than its factorization.

54330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51473 (or 51465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 54330144 is about 7370.8984526990. The cubic root of 54330144 is about 378.7450382210.

Adding to 54330144 its reverse (44103345), we get a palindrome (98433489).

It can be divided in two parts, 543301 and 44, that added together give a palindrome (543345).

The spelling of 54330144 in words is "fifty-four million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 51449 102898 154347 205796 308694 411592 565939 617388 823184 1131878 1234776 1646368 1697817 2263756 2469552 3395634 4527512 4939104 6791268 9055024 13582536 18110048 27165072 54330144