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5254689024 = 283413101193
BaseRepresentation
bin1001110010011010…
…00011000100000000
3111120012121212020000
410321031003010000
541230200022044
62225230120000
7244134056034
oct47115030400
914505555200
105254689024
112257153702
121027950000
13659853660
1437bc3c1c4
1520b4b4d69
hex139343100

5254689024 has 360 divisors, whose sum is σ = 17129165592. Its totient is φ = 1592524800.

The previous prime is 5254688969. The next prime is 5254689031. The reversal of 5254689024 is 4209864525.

5254689024 is a `hidden beast` number, since 5 + 2 + 546 + 89 + 0 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 635040000 + 4619649024 = 25200^2 + 67968^2 .

It is a super-2 number, since 2×52546890242 = 55223513477892145152, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27226272 + ... + 27226464.

Almost surely, 25254689024 is an apocalyptic number.

5254689024 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 5254689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564582796).

5254689024 is an abundant number, since it is smaller than the sum of its proper divisors (11874476568).

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

5254689024 is a wasteful number, since it uses less digits than its factorization.

5254689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5254689024 is about 72489.2338488965. The cubic root of 5254689024 is about 1738.5306025146.

The spelling of 5254689024 in words is "five billion, two hundred fifty-four million, six hundred eighty-nine thousand, twenty-four".