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5923253952 = 263471121971
BaseRepresentation
bin1011000010000110…
…11010111011000000
3120021210122110220000
411201003122323000
544112323111302
62415431520000
7266532553650
oct54103327300
916253573800
105923253952
11256a582400
121193829000
137352077c5
14402952360
1524a02831c
hex1610daec0

5923253952 has 840 divisors, whose sum is σ = 23544702720. Its totient is φ = 1437004800.

The previous prime is 5923253923. The next prime is 5923253957. The reversal of 5923253952 is 2593523295.

5923253952 is a `hidden beast` number, since 592 + 3 + 2 + 5 + 3 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5923253898 and 5923253907.

It is not an unprimeable number, because it can be changed into a prime (5923253957) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83426077 + ... + 83426147.

It is an arithmetic number, because the mean of its divisors is an integer number (28029408).

Almost surely, 25923253952 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 5923253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772351360).

5923253952 is an abundant number, since it is smaller than the sum of its proper divisors (17621448768).

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

5923253952 is a wasteful number, since it uses less digits than its factorization.

5923253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The square root of 5923253952 is about 76962.6789554522. The cubic root of 5923253952 is about 1809.3397215168.

The spelling of 5923253952 in words is "five billion, nine hundred twenty-three million, two hundred fifty-three thousand, nine hundred fifty-two".