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54138552 = 23313732377
BaseRepresentation
bin1100111010000…
…1011010111000
310202212112010120
43032201122320
5102324413202
65212213240
71225112226
oct316413270
9122775116
1054138552
1128618106
121616a220
13b2a7060
147293b16
154b460bc
hex33a16b8

54138552 has 64 divisors (see below), whose sum is σ = 147816480. Its totient is φ = 16422912.

The previous prime is 54138533. The next prime is 54138559. The reversal of 54138552 is 25583145.

54138552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54138559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21588 + ... + 23964.

Almost surely, 254138552 is an apocalyptic number.

54138552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54138552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73908240).

54138552 is an abundant number, since it is smaller than the sum of its proper divisors (93677928).

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

54138552 is a wasteful number, since it uses less digits than its factorization.

54138552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2468 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 54138552 is about 7357.8904585486. The cubic root of 54138552 is about 378.2993066273.

It can be divided in two parts, 541 and 38552, that added together give a palindrome (39093).

The spelling of 54138552 in words is "fifty-four million, one hundred thirty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2377 2847 3796 4754 5694 7131 7592 9508 11388 14262 19016 22776 28524 30901 57048 61802 92703 123604 173521 185406 247208 347042 370812 520563 694084 741624 1041126 1388168 2082252 2255773 4164504 4511546 6767319 9023092 13534638 18046184 27069276 54138552