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54543456 = 2534111913
BaseRepresentation
bin1101000000010…
…0010001100000
310210122002120000
43100010101200
5102430342311
65225020000
71231416552
oct320042140
9123562500
1054543456
1128874340
1216324600
13b3b9446
14735b4d2
154bc6056
hex3404460

54543456 has 120 divisors (see below), whose sum is σ = 175085064. Its totient is φ = 16519680.

The previous prime is 54543451. The next prime is 54543473. The reversal of 54543456 is 65434545.

54543456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 54543456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54543451) 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 19 ways as a sum of consecutive naturals, for example, 27556 + ... + 29468.

Almost surely, 254543456 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 54543456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87542532).

54543456 is an abundant number, since it is smaller than the sum of its proper divisors (120541608).

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

54543456 is a wasteful number, since it uses less digits than its factorization.

54543456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1929 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 54543456 is about 7385.3541553537. The cubic root of 54543456 is about 379.2400694719.

It can be divided in two parts, 545434 and 56, that added together give a triangular number (545490 = T1044).

The spelling of 54543456 in words is "fifty-four million, five hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 1913 2376 2592 3168 3564 3826 4752 5739 7128 7652 9504 11478 14256 15304 17217 21043 22956 28512 30608 34434 42086 45912 51651 61216 63129 68868 84172 91824 103302 126258 137736 154953 168344 183648 189387 206604 252516 275472 309906 336688 378774 413208 505032 550944 568161 619812 673376 757548 826416 1010064 1136322 1239624 1515096 1652832 1704483 2020128 2272644 2479248 3030192 3408966 4545288 4958496 6060384 6817932 9090576 13635864 18181152 27271728 54543456