Search a number
-
+
54352544 = 2567101251
BaseRepresentation
bin1100111101010…
…1101010100000
310210021101200012
43033111222200
5102403240134
65220544052
71226663141
oct317255240
9123241605
1054352544
1128753964
1216252028
13b35058c
14730bac8
154b896ce
hex33d5aa0

54352544 has 48 divisors (see below), whose sum is σ = 110115936. Its totient is φ = 26400000.

The previous prime is 54352541. The next prime is 54352561. The reversal of 54352544 is 44525345.

54352544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 54352544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54352541) 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 7 ways as a sum of consecutive naturals, for example, 216419 + ... + 216669.

It is an arithmetic number, because the mean of its divisors is an integer number (2294082).

Almost surely, 254352544 is an apocalyptic number.

It is an amenable number.

54352544 is an abundant number, since it is smaller than the sum of its proper divisors (55763392).

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

54352544 is a wasteful number, since it uses less digits than its factorization.

54352544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its digits is 48000, while the sum is 32.

The square root of 54352544 is about 7372.4177852317. The cubic root of 54352544 is about 378.7970825224.

Adding to 54352544 its reverse (44525345), we get a palindrome (98877889).

The spelling of 54352544 in words is "fifty-four million, three hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 67 101 134 202 251 268 404 502 536 808 1004 1072 1616 2008 2144 3232 4016 6767 8032 13534 16817 25351 27068 33634 50702 54136 67268 101404 108272 134536 202808 216544 269072 405616 538144 811232 1698517 3397034 6794068 13588136 27176272 54352544