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5056245792 = 2532135383307
BaseRepresentation
bin1001011010110000…
…00011000000100000
3111001101012220021200
410231120003000200
540323344331132
62153420521200
7236204244243
oct45530030040
914041186250
105056245792
112165134334
12b913b0200
136276c2b20
1435d74325a
151e8d66d7c
hex12d603020

5056245792 has 288 divisors, whose sum is σ = 16019011008. Its totient is φ = 1503111168.

The previous prime is 5056245763. The next prime is 5056245833. The reversal of 5056245792 is 2975426505.

5056245792 is a `hidden beast` number, since 5 + 0 + 56 + 24 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 16469703 + ... + 16470009.

It is an arithmetic number, because the mean of its divisors is an integer number (55621566).

Almost surely, 25056245792 is an apocalyptic number.

5056245792 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 5056245792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009505504).

5056245792 is an abundant number, since it is smaller than the sum of its proper divisors (10962765216).

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

5056245792 is a wasteful number, since it uses less digits than its factorization.

5056245792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5056245792 is about 71107.2836775530. The cubic root of 5056245792 is about 1716.3639829719.

The spelling of 5056245792 in words is "five billion, fifty-six million, two hundred forty-five thousand, seven hundred ninety-two".