Search a number
-
+
5532440832 = 283317197239
BaseRepresentation
bin1010010011100001…
…00101100100000000
3112021120021010002000
411021300211210000
542312301101312
62312551224000
7254045654052
oct51160454400
915246233060
105532440832
112389a11756
1210a4978000
136a2261939
143a6a9d8d2
15225a7badc
hex149c25900

5532440832 has 288 divisors, whose sum is σ = 17483558400. Its totient is φ = 1719631872.

The previous prime is 5532440819. The next prime is 5532440833. The reversal of 5532440832 is 2380442355.

5532440832 is a `hidden beast` number, since 5 + 532 + 4 + 40 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5532440833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23148169 + ... + 23148407.

It is an arithmetic number, because the mean of its divisors is an integer number (60706800).

Almost surely, 25532440832 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 5532440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741779200).

5532440832 is an abundant number, since it is smaller than the sum of its proper divisors (11951117568).

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

5532440832 is a wasteful number, since it uses less digits than its factorization.

5532440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5532440832 is about 74380.3793483201. The cubic root of 5532440832 is about 1768.6378948922.

The spelling of 5532440832 in words is "five billion, five hundred thirty-two million, four hundred forty thousand, eight hundred thirty-two".