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5254744320 = 283357229107
BaseRepresentation
bin1001110010011010…
…10000100100000000
3111120012201200002000
410321031100210000
541230203304240
62225231224000
7244134406200
oct47115204400
914505650060
105254744320
112257191201
121027978000
13659872887
1437bc54400
1520b4c6430
hex139350900

5254744320 has 864 divisors, whose sum is σ = 22649155200. Its totient is φ = 1148829696.

The previous prime is 5254744303. The next prime is 5254744321. The reversal of 5254744320 is 234474525.

5254744320 is a `hidden beast` number, since 52 + 547 + 4 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×52547443202 = 55224675737144524800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5254744321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 49109707 + ... + 49109813.

It is an arithmetic number, because the mean of its divisors is an integer number (26214300).

Almost surely, 25254744320 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 5254744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324577600).

5254744320 is an abundant number, since it is smaller than the sum of its proper divisors (17394410880).

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

5254744320 is a wasteful number, since it uses less digits than its factorization.

5254744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 5254744320 is about 72489.6152562558. The cubic root of 5254744320 is about 1738.5367007791.

The spelling of 5254744320 in words is "five billion, two hundred fifty-four million, seven hundred forty-four thousand, three hundred twenty".