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4926790440 = 233351113192373
BaseRepresentation
bin1001001011010100…
…01101101100101000
3110201100121212221000
410211222031230220
540042224243230
62132514115000
7233043012345
oct44552155450
913640555830
104926790440
1120a9054640
12b55b7ba60
13606938220
1434a4857cc
151dc7e4b60
hex125a8db28

4926790440 has 1024 divisors, whose sum is σ = 21482496000. Its totient is φ = 985374720.

The previous prime is 4926790439. The next prime is 4926790447. The reversal of 4926790440 is 440976294.

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

It is not an unprimeable number, because it can be changed into a prime (4926790447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67490244 + ... + 67490316.

It is an arithmetic number, because the mean of its divisors is an integer number (20979000).

Almost surely, 24926790440 is an apocalyptic number.

4926790440 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 4926790440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741248000).

4926790440 is an abundant number, since it is smaller than the sum of its proper divisors (16555705560).

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

4926790440 is a wasteful number, since it uses less digits than its factorization.

4926790440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4926790440 is about 70191.0994357547. The cubic root of 4926790440 is about 1701.5891069385.

The spelling of 4926790440 in words is "four billion, nine hundred twenty-six million, seven hundred ninety thousand, four hundred forty".