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5240818440 = 233251113241191
BaseRepresentation
bin1001110000110000…
…01000101100001000
3111112020112011100200
410320120020230020
541213122142230
62224012532200
7243605136024
oct47030105410
914466464320
105240818440
11224a33a510
121023181060
13656a08100
1437a06b384
1520a175160
hex138608b08

5240818440 has 576 divisors, whose sum is σ = 20718996480. Its totient is φ = 1138176000.

The previous prime is 5240818423. The next prime is 5240818447. The reversal of 5240818440 is 448180425.

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 = 5240818395 and 5240818404.

It is not an unprimeable number, because it can be changed into a prime (5240818447) 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 143 ways as a sum of consecutive naturals, for example, 27438745 + ... + 27438935.

It is an arithmetic number, because the mean of its divisors is an integer number (35970480).

Almost surely, 25240818440 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 5240818440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359498240).

5240818440 is an abundant number, since it is smaller than the sum of its proper divisors (15478178040).

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

5240818440 is a wasteful number, since it uses less digits than its factorization.

5240818440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5240818440 is about 72393.4972217809. The cubic root of 5240818440 is about 1736.9995456004. Note that the first 3 decimals are identical.

Adding to 5240818440 its reverse (448180425), we get a palindrome (5688998865).

The spelling of 5240818440 in words is "five billion, two hundred forty million, eight hundred eighteen thousand, four hundred forty".