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4252320576 = 263272941887
BaseRepresentation
bin1111110101110101…
…0100001101000000
3101222100111021012200
43331131110031000
532202043224301
61541541553200
7210243062040
oct37535241500
911870437180
104252320576
111892362429
129a8115800
13529c9742a
142c4a75720
1519d4b6c86
hexfd754340

4252320576 has 336 divisors, whose sum is σ = 14778167040. Its totient is φ = 1143152640.

The previous prime is 4252320559. The next prime is 4252320577. The reversal of 4252320576 is 6750232524.

4252320576 is a `hidden beast` number, since 4 + 2 + 52 + 32 + 0 + 576 = 666.

4252320576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4252320576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252320577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4793605 + ... + 4794491.

It is an arithmetic number, because the mean of its divisors is an integer number (43982640).

Almost surely, 24252320576 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 4252320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389083520).

4252320576 is an abundant number, since it is smaller than the sum of its proper divisors (10525846464).

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

4252320576 is a wasteful number, since it uses less digits than its factorization.

4252320576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 969 counting only the distinct ones).

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

The square root of 4252320576 is about 65209.8196286418. The cubic root of 4252320576 is about 1620.1006613263.

The spelling of 4252320576 in words is "four billion, two hundred fifty-two million, three hundred twenty thousand, five hundred seventy-six".