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4718074240 = 275113759307
BaseRepresentation
bin1000110010011100…
…00001100110000000
3110011210220000010101
410121032001212000
534130311333430
62100100412144
7224626653325
oct43116014600
913153800111
104718074240
112001259010
12ab80a7054
135a261b809
1432a874b4c
151c9317dca
hex119381980

4718074240 has 256 divisors, whose sum is σ = 12893126400. Its totient is φ = 1635655680.

The previous prime is 4718074237. The next prime is 4718074253. The reversal of 4718074240 is 424708174.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 4718074240.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15368167 + ... + 15368473.

It is an arithmetic number, because the mean of its divisors is an integer number (50363775).

Almost surely, 24718074240 is an apocalyptic number.

4718074240 is a gapful number since it is divisible by the number (40) 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 4718074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446563200).

4718074240 is an abundant number, since it is smaller than the sum of its proper divisors (8175052160).

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

4718074240 is a wasteful number, since it uses less digits than its factorization.

4718074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The square root of 4718074240 is about 68688.2394591680. The cubic root of 4718074240 is about 1677.2131422549.

The spelling of 4718074240 in words is "four billion, seven hundred eighteen million, seventy-four thousand, two hundred forty".