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54404712 = 2332532269
BaseRepresentation
bin1100111110001…
…0011001101000
310210101001020100
43033202121220
5102411422322
65222025400
71230301215
oct317423150
9123331210
1054404712
112878a07a
1216278260
13b36b24b
147322b0c
154b99dac
hex33e2668

54404712 has 72 divisors (see below), whose sum is σ = 150736950. Its totient is φ = 17726592.

The previous prime is 54404711. The next prime is 54404731. The reversal of 54404712 is 21740445.

54404712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 45077796 + 9326916 = 6714^2 + 3054^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (54404711) 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 17 ways as a sum of consecutive naturals, for example, 202114 + ... + 202382.

Almost surely, 254404712 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 54404712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75368475).

54404712 is an abundant number, since it is smaller than the sum of its proper divisors (96332238).

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

54404712 is a wasteful number, since it uses less digits than its factorization.

54404712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 54404712 is about 7375.9549890167. The cubic root of 54404712 is about 378.9182345780.

The spelling of 54404712 in words is "fifty-four million, four hundred four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 269 318 424 477 538 636 807 954 1076 1272 1614 1908 2152 2421 2809 3228 3816 4842 5618 6456 8427 9684 11236 14257 16854 19368 22472 25281 28514 33708 42771 50562 57028 67416 85542 101124 114056 128313 171084 202248 256626 342168 513252 755621 1026504 1511242 2266863 3022484 4533726 6044968 6800589 9067452 13601178 18134904 27202356 54404712