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4429056240 = 2433571717231
BaseRepresentation
bin1000001111111111…
…00000100011110000
3102102200001100222000
410013333200203300
533032314244430
62011254014000
7214520233260
oct40777404360
912380040860
104429056240
1119730a5564
12a37347300
1355779754b
1430031d7a0
151adc77e60
hex107fe08f0

4429056240 has 320 divisors, whose sum is σ = 18461675520. Its totient is φ = 952750080.

The previous prime is 4429056227. The next prime is 4429056241. The reversal of 4429056240 is 426509244.

4429056240 is a `hidden beast` number, since 4 + 4 + 2 + 90 + 562 + 4 + 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 = 4429056195 and 4429056204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429056241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248425 + ... + 265655.

It is an arithmetic number, because the mean of its divisors is an integer number (57692736).

Almost surely, 24429056240 is an apocalyptic number.

4429056240 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 4429056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230837760).

4429056240 is an abundant number, since it is smaller than the sum of its proper divisors (14032619280).

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

4429056240 is a wasteful number, since it uses less digits than its factorization.

4429056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17277 (or 17265 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4429056240 is about 66551.1550613511. The cubic root of 4429056240 is about 1642.2416599176.

The spelling of 4429056240 in words is "four billion, four hundred twenty-nine million, fifty-six thousand, two hundred forty".