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5432204032 = 28234911879
BaseRepresentation
bin1010000111100100…
…01101101100000000
3112000120122120000221
411003302031230000
542111121012112
62255010552424
7251420654353
oct50362155400
915016576027
105432204032
112338379322
121077298714
13687567418
1439764a29a
1521bd7be07
hex143c8db00

5432204032 has 72 divisors (see below), whose sum is σ = 11343709440. Its totient is φ = 2591339520.

The previous prime is 5432204027. The next prime is 5432204033. The reversal of 5432204032 is 2304022345.

It is a junction number, because it is equal to n+sod(n) for n = 5432203988 and 5432204006.

It is not an unprimeable number, because it can be changed into a prime (5432204033) 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 7 ways as a sum of consecutive naturals, for example, 2890069 + ... + 2891947.

It is an arithmetic number, because the mean of its divisors is an integer number (157551520).

Almost surely, 25432204032 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 5432204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671854720).

5432204032 is an abundant number, since it is smaller than the sum of its proper divisors (5911505408).

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

5432204032 is a wasteful number, since it uses less digits than its factorization.

5432204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 5432204032 is about 73703.4872444988. The cubic root of 5432204032 is about 1757.8913313472.

Adding to 5432204032 its reverse (2304022345), we get a palindrome (7736226377).

The spelling of 5432204032 in words is "five billion, four hundred thirty-two million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 491 736 982 1472 1879 1964 2944 3758 3928 5888 7516 7856 11293 15032 15712 22586 30064 31424 43217 45172 60128 62848 86434 90344 120256 125696 172868 180688 240512 345736 361376 481024 691472 722752 922589 1382944 1445504 1845178 2765888 2891008 3690356 5531776 7380712 11063552 14761424 21219547 29522848 42439094 59045696 84878188 118091392 169756376 236182784 339512752 679025504 1358051008 2716102016 5432204032