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4025458944 = 283413109137
BaseRepresentation
bin1110111111101111…
…1010000100000000
3101101112121111120000
43233323322010000
531221004141234
61503235320000
7201516556623
oct35773720400
911345544500
104025458944
1117862a2981
12944150000
134c1c96790
142a289ddba
15188603899
hexefefa100

4025458944 has 360 divisors, whose sum is σ = 13140324120. Its totient is φ = 1218281472.

The previous prime is 4025458937. The next prime is 4025458949. The reversal of 4025458944 is 4498545204.

It is a happy number.

4025458944 is a `hidden beast` number, since 4 + 0 + 25 + 4 + 589 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 454201344 + 3571257600 = 21312^2 + 59760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4025458944.

It is not an unprimeable number, because it can be changed into a prime (4025458949) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 29382844 + ... + 29382980.

Almost surely, 24025458944 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 4025458944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570162060).

4025458944 is an abundant number, since it is smaller than the sum of its proper divisors (9114865176).

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

4025458944 is a wasteful number, since it uses less digits than its factorization.

4025458944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4025458944 is about 63446.5045845711. The cubic root of 4025458944 is about 1590.7617282888.

The spelling of 4025458944 in words is "four billion, twenty-five million, four hundred fifty-eight thousand, nine hundred forty-four".