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54323456 = 2811101191
BaseRepresentation
bin1100111100111…
…0100100000000
310210012220202212
43033032210000
5102401322311
65220201252
71226512265
oct317164400
9123186685
1054323456
1128734020
1216239228
13b340275
14730126c
154b80c8b
hex33ce900

54323456 has 72 divisors (see below), whose sum is σ = 120089088. Its totient is φ = 24320000.

The previous prime is 54323453. The next prime is 54323459. The reversal of 54323456 is 65432345.

54323456 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (54323453) and next prime (54323459).

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

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

It is not an unprimeable number, because it can be changed into a prime (54323453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284321 + ... + 284511.

It is an arithmetic number, because the mean of its divisors is an integer number (1667904).

Almost surely, 254323456 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 54323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60044544).

54323456 is an abundant number, since it is smaller than the sum of its proper divisors (65765632).

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

54323456 is a wasteful number, since it uses less digits than its factorization.

54323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 54323456 is about 7370.4447626992. Note that the first 3 decimals coincide. The cubic root of 54323456 is about 378.7294965065.

Subtracting 54323456 from its reverse (65432345), we obtain a square (11108889 = 33332).

It can be divided in two parts, 5432 and 3456, that added together give a palindrome (8888).

The spelling of 54323456 in words is "fifty-four million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 191 202 256 352 382 404 704 764 808 1111 1408 1528 1616 2101 2222 2816 3056 3232 4202 4444 6112 6464 8404 8888 12224 12928 16808 17776 19291 24448 25856 33616 35552 38582 48896 67232 71104 77164 134464 142208 154328 212201 268928 284416 308656 424402 537856 617312 848804 1234624 1697608 2469248 3395216 4938496 6790432 13580864 27161728 54323456