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4441288950 = 23252721910601
BaseRepresentation
bin1000010001011100…
…01011000011110110
3102110112001212002100
410020232023003312
533043432221300
62012412122530
7215026222200
oct41056130366
912415055070
104441288950
111979aa013a
12a3b466446
1355a18b437
14301bc5770
151aed92700
hex108b8b0f6

4441288950 has 216 divisors, whose sum is σ = 14612312520. Its totient is φ = 961632000.

The previous prime is 4441288949. The next prime is 4441288967. The reversal of 4441288950 is 598821444.

4441288950 is a `hidden beast` number, since 444 + 128 + 89 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4441288896 and 4441288905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 413650 + ... + 424250.

It is an arithmetic number, because the mean of its divisors is an integer number (67649595).

Almost surely, 24441288950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441288950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306156260).

4441288950 is an abundant number, since it is smaller than the sum of its proper divisors (10171023570).

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

4441288950 is a wasteful number, since it uses less digits than its factorization.

4441288950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10652 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4441288950 is about 66642.9962561708. The cubic root of 4441288950 is about 1643.7521848391.

The spelling of 4441288950 in words is "four billion, four hundred forty-one million, two hundred eighty-eight thousand, nine hundred fifty".