Search a number
-
+
5544212928 = 263233313793
BaseRepresentation
bin1010010100111010…
…11111100111000000
3112022101102012100120
411022131133213000
542323304303203
62314051420240
7254251014042
oct51235374700
915271365316
105544212928
112395622261
1210a88b4680
136a4823c87
143a8485a92
15226b04b53
hex14a75f9c0

5544212928 has 112 divisors (see below), whose sum is σ = 15357140736. Its totient is φ = 1761914880.

The previous prime is 5544212911. The next prime is 5544212929. The reversal of 5544212928 is 8292124455.

It is a self number, because there is not a number n which added to its sum of digits gives 5544212928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5544212929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459800 + ... + 1463592.

It is an arithmetic number, because the mean of its divisors is an integer number (137117328).

Almost surely, 25544212928 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 5544212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678570368).

5544212928 is an abundant number, since it is smaller than the sum of its proper divisors (9812927808).

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

5544212928 is a wasteful number, since it uses less digits than its factorization.

5544212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4152 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 5544212928 is about 74459.4717144837. The cubic root of 5544212928 is about 1769.8914600364.

The spelling of 5544212928 in words is "five billion, five hundred forty-four million, two hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 331 368 552 662 736 993 1104 1324 1472 1986 2208 2648 3793 3972 4416 5296 7586 7613 7944 10592 11379 15172 15226 15888 21184 22758 22839 30344 30452 31776 45516 45678 60688 60904 63552 87239 91032 91356 121376 121808 174478 182064 182712 242752 243616 261717 348956 364128 365424 487232 523434 697912 728256 730848 1046868 1255483 1395824 1461696 2093736 2510966 2791648 3766449 4187472 5021932 5583296 7532898 8374944 10043864 15065796 16749888 20087728 28876109 30131592 40175456 57752218 60263184 80350912 86628327 115504436 120526368 173256654 231008872 241052736 346513308 462017744 693026616 924035488 1386053232 1848070976 2772106464 5544212928