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5254986240 = 29335710861
BaseRepresentation
bin1001110010011100…
…01011101000000000
3111120020011221221000
410321032023220000
541230234024430
62225240332000
7244136434410
oct47116135000
914506157830
105254986240
112257336a39
121027a74000
13659928a1a
1437bcb8640
1520b522e60
hex13938ba00

5254986240 has 320 divisors, whose sum is σ = 21334705920. Its totient is φ = 1201029120.

The previous prime is 5254986223. The next prime is 5254986241. The reversal of 5254986240 is 426894525.

5254986240 is a `hidden beast` number, since 5 + 2 + 549 + 8 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×52549862402 = 55229760765178675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5254986241) by changing a digit.

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, 478410 + ... + 489270.

It is an arithmetic number, because the mean of its divisors is an integer number (66670956).

Almost surely, 25254986240 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 5254986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667352960).

5254986240 is an abundant number, since it is smaller than the sum of its proper divisors (16079719680).

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

5254986240 is a wasteful number, since it uses less digits than its factorization.

5254986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10878 counting only the distinct ones).

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

The square root of 5254986240 is about 72491.2838898581. The cubic root of 5254986240 is about 1738.5633801834.

The spelling of 5254986240 in words is "five billion, two hundred fifty-four million, nine hundred eighty-six thousand, two hundred forty".