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5358450240 = 2633511134337
BaseRepresentation
bin1001111110110001…
…10111011001000000
3111211102212110212000
410333120313121000
541433230401430
62243414104000
7246534034623
oct47730673100
914742773760
105358450240
1122aa783a80
12105664b000
136751b3120
1438b92bdba
1521565de60
hex13f637640

5358450240 has 448 divisors, whose sum is σ = 22213336320. Its totient is φ = 1198817280.

The previous prime is 5358450233. The next prime is 5358450259. The reversal of 5358450240 is 420548535.

5358450240 is a `hidden beast` number, since 5 + 3 + 584 + 50 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5358450195 and 5358450204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1233352 + ... + 1237688.

It is an arithmetic number, because the mean of its divisors is an integer number (49583340).

Almost surely, 25358450240 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 5358450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106668160).

5358450240 is an abundant number, since it is smaller than the sum of its proper divisors (16854886080).

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

5358450240 is a wasteful number, since it uses less digits than its factorization.

5358450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5358450240 is about 73201.4360514874. The cubic root of 5358450240 is about 1749.8993400605.

Adding to 5358450240 its reverse (420548535), we get a palindrome (5778998775).

The spelling of 5358450240 in words is "five billion, three hundred fifty-eight million, four hundred fifty thousand, two hundred forty".