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5052782592 = 21135111371
BaseRepresentation
bin1001011010010101…
…10101100000000000
3111001010200221200000
410231022311200000
540322003020332
62153214400000
7236132641404
oct45512654000
914033627600
105052782592
112163189390
12b90200000
13626a7c6b0
1435d0c1104
151e88d0b7c
hex12d2b5800

5052782592 has 576 divisors, whose sum is σ = 18030055680. Its totient is φ = 1393459200.

The previous prime is 5052782587. The next prime is 5052782629. The reversal of 5052782592 is 2952872505.

5052782592 is a `hidden beast` number, since 5 + 0 + 52 + 7 + 8 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×50527825922 = 51061223844036476928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71165917 + ... + 71165987.

It is an arithmetic number, because the mean of its divisors is an integer number (31302180).

Almost surely, 25052782592 is an apocalyptic number.

5052782592 is a gapful number since it is divisible by the number (52) 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 5052782592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015027840).

5052782592 is an abundant number, since it is smaller than the sum of its proper divisors (12977273088).

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

5052782592 is a wasteful number, since it uses less digits than its factorization.

5052782592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5052782592 is about 71082.9275705496. The cubic root of 5052782592 is about 1715.9720275161.

The spelling of 5052782592 in words is "five billion, fifty-two million, seven hundred eighty-two thousand, five hundred ninety-two".