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5725439424 = 263341211383
BaseRepresentation
bin1010101010100001…
…10100010111000000
3112210000102110101000
411111100310113000
543211203030144
62344044012000
7261611301135
oct52520642700
915700373330
105725439424
112478952421
121139531000
137032371a3
143c457c58c
152379a1769
hex1554345c0

5725439424 has 224 divisors, whose sum is σ = 17369210880. Its totient is φ = 1848268800.

The previous prime is 5725439411. The next prime is 5725439431. The reversal of 5725439424 is 4249345275.

5725439424 is a `hidden beast` number, since 5 + 7 + 254 + 394 + 2 + 4 = 666.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 5725439424.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14948737 + ... + 14949119.

It is an arithmetic number, because the mean of its divisors is an integer number (77541120).

Almost surely, 25725439424 is an apocalyptic number.

5725439424 is a gapful number since it is divisible by the number (54) 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 5725439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8684605440).

5725439424 is an abundant number, since it is smaller than the sum of its proper divisors (11643771456).

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

5725439424 is a wasteful number, since it uses less digits than its factorization.

5725439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5725439424 is about 75666.6334919164. The cubic root of 5725439424 is about 1788.9695205889.

The spelling of 5725439424 in words is "five billion, seven hundred twenty-five million, four hundred thirty-nine thousand, four hundred twenty-four".