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2532445344 = 25331113103199
BaseRepresentation
bin1001011011110010…
…0000110010100000
320112111020112221000
42112330200302200
520141301222334
61055143032000
7116520300402
oct22674406240
96474215830
102532445344
11108a554740
125a813b600
1331487c490
141a0498b72
15ec4d9299
hex96f20ca0

2532445344 has 384 divisors, whose sum is σ = 8805888000. Its totient is φ = 697973760.

The previous prime is 2532445339. The next prime is 2532445351. The reversal of 2532445344 is 4435442352.

2532445344 is a `hidden beast` number, since 253 + 24 + 45 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2532445299 and 2532445308.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12725757 + ... + 12725955.

It is an arithmetic number, because the mean of its divisors is an integer number (22932000).

Almost surely, 22532445344 is an apocalyptic number.

2532445344 is a gapful number since it is divisible by the number (24) 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 2532445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944000).

2532445344 is an abundant number, since it is smaller than the sum of its proper divisors (6273442656).

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

2532445344 is a wasteful number, since it uses less digits than its factorization.

2532445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its digits is 230400, while the sum is 36.

The square root of 2532445344 is about 50323.4075157873. The cubic root of 2532445344 is about 1363.0549376983.

Adding to 2532445344 its reverse (4435442352), we get a palindrome (6967887696).

The spelling of 2532445344 in words is "two billion, five hundred thirty-two million, four hundred forty-five thousand, three hundred forty-four".