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5652234720 = 25325111013533
BaseRepresentation
bin1010100001110011…
…00100000111100000
3112120220200021101200
411100321210013200
543033433002340
62332511001200
7260032126266
oct52071440740
915526607350
105652234720
1124405a2670
121118b09200
136c1015ab2
143b8964436
15231341330
hex150e641e0

5652234720 has 288 divisors, whose sum is σ = 21256077024. Its totient is φ = 1356288000.

The previous prime is 5652234697. The next prime is 5652234727. The reversal of 5652234720 is 274322565.

5652234720 is a `hidden beast` number, since 565 + 2 + 23 + 4 + 72 + 0 = 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652234727) 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 47 ways as a sum of consecutive naturals, for example, 1598074 + ... + 1601606.

It is an arithmetic number, because the mean of its divisors is an integer number (73805823).

Almost surely, 25652234720 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 5652234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628038512).

5652234720 is an abundant number, since it is smaller than the sum of its proper divisors (15603842304).

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

5652234720 is a wasteful number, since it uses less digits than its factorization.

5652234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5652234720 is about 75181.3455585892. The cubic root of 5652234720 is about 1781.3122839902.

The spelling of 5652234720 in words is "five billion, six hundred fifty-two million, two hundred thirty-four thousand, seven hundred twenty".