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54430512 = 24323471049
BaseRepresentation
bin1100111110100…
…0101100110000
310210102100121220
43033220230300
5102413234022
65222345040
71230436353
oct317505460
9123370556
1054430512
11287a74a4
121628b180
13b379c06
14732c29a
154ba285c
hex33e8b30

54430512 has 80 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 16969216.

The previous prime is 54430507. The next prime is 54430553. The reversal of 54430512 is 21503445.

54430512 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 (24).

It is a congruent number.

It is an unprimeable number.

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, 51364 + ... + 52412.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 254430512 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 54430512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

54430512 is an abundant number, since it is smaller than the sum of its proper divisors (95559888).

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

54430512 is a wasteful number, since it uses less digits than its factorization.

54430512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 54430512 is about 7377.7037077942. The cubic root of 54430512 is about 378.9781224391.

Adding to 54430512 its reverse (21503445), we get a palindrome (75933957).

The spelling of 54430512 in words is "fifty-four million, four hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 184 188 276 282 368 376 552 564 752 1049 1081 1104 1128 2098 2162 2256 3147 3243 4196 4324 6294 6486 8392 8648 12588 12972 16784 17296 24127 25176 25944 48254 49303 50352 51888 72381 96508 98606 144762 147909 193016 197212 289524 295818 386032 394424 579048 591636 788848 1133969 1158096 1183272 2267938 2366544 3401907 4535876 6803814 9071752 13607628 18143504 27215256 54430512