Search a number
-
+
54543440 = 2457173563
BaseRepresentation
bin1101000000010…
…0010001010000
310210122002112102
43100010101100
5102430342230
65225015532
71231416530
oct320042120
9123562472
1054543440
1128874326
12163245a8
13b3b9433
14735b4c0
154bc6045
hex3404450

54543440 has 80 divisors (see below), whose sum is σ = 146026368. Its totient is φ = 18559488.

The previous prime is 54543431. The next prime is 54543443. The reversal of 54543440 is 4434545.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54543443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96599 + ... + 97161.

Almost surely, 254543440 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 54543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73013184).

54543440 is an abundant number, since it is smaller than the sum of its proper divisors (91482928).

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

54543440 is a wasteful number, since it uses less digits than its factorization.

54543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 54543440 is about 7385.3530721286. The cubic root of 54543440 is about 379.2400323893.

Adding to 54543440 its reverse (4434545), we get a palindrome (58977985).

The spelling of 54543440 in words is "fifty-four million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 173 280 346 560 563 692 865 1126 1211 1384 1730 2252 2422 2768 2815 3460 3941 4504 4844 5630 6055 6920 7882 9008 9688 11260 12110 13840 15764 19376 19705 22520 24220 31528 39410 45040 48440 63056 78820 96880 97399 157640 194798 315280 389596 486995 681793 779192 973990 1363586 1558384 1947980 2727172 3408965 3895960 5454344 6817930 7791920 10908688 13635860 27271720 54543440