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5440532200 = 23521911091291
BaseRepresentation
bin1010001000100011…
…11110111011101000
3112001011022200010121
411010101332323220
542120234012300
62255505253024
7251551521625
oct50421767350
915034280117
105440532200
112342047404
12107a034174
136891c202c
143987b734c
1521c97481a
hex14447eee8

5440532200 has 96 divisors (see below), whose sum is σ = 13337316000. Its totient is φ = 2058220800.

The previous prime is 5440532197. The next prime is 5440532221. The reversal of 5440532200 is 22350445.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4213555 + ... + 4214845.

It is an arithmetic number, because the mean of its divisors is an integer number (138930375).

Almost surely, 25440532200 is an apocalyptic number.

5440532200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668658000).

5440532200 is an abundant number, since it is smaller than the sum of its proper divisors (7896783800).

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

5440532200 is a wasteful number, since it uses less digits than its factorization.

5440532200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5440532200 is about 73759.9633947848. The cubic root of 5440532200 is about 1758.7892197566.

Adding to 5440532200 its reverse (22350445), we get a palindrome (5462882645).

The spelling of 5440532200 in words is "five billion, four hundred forty million, five hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1109 1291 1900 2218 2582 3800 4436 5164 5545 6455 8872 10328 11090 12910 21071 22180 24529 25820 27725 32275 42142 44360 49058 51640 55450 64550 84284 98116 105355 110900 122645 129100 168568 196232 210710 221800 245290 258200 421420 490580 526775 613225 842840 981160 1053550 1226450 1431719 2107100 2452900 2863438 4214200 4905800 5726876 7158595 11453752 14317190 27202661 28634380 35792975 54405322 57268760 71585950 108810644 136013305 143171900 217621288 272026610 286343800 544053220 680066525 1088106440 1360133050 2720266100 5440532200