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4428363744 = 253371989433
BaseRepresentation
bin1000001111111001…
…10111011111100000
3102102121202012001000
410013330313133200
533032130114434
62011231112000
7214511320320
oct40774673740
912377665030
104428363744
111972772252
12a37072600
135575b429c
143001bd280
151adb8cb99
hex107f377e0

4428363744 has 384 divisors, whose sum is σ = 15748992000. Its totient is φ = 1182449664.

The previous prime is 4428363743. The next prime is 4428363773. The reversal of 4428363744 is 4473638244.

4428363744 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 3 + 637 + 4 + 4 = 666.

It is a super-2 number, since 2×44283637442 = 39220810898347395072, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4428363744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428363743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10226952 + ... + 10227384.

It is an arithmetic number, because the mean of its divisors is an integer number (41013000).

Almost surely, 24428363744 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 4428363744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496000).

4428363744 is an abundant number, since it is smaller than the sum of its proper divisors (11320628256).

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

4428363744 is a wasteful number, since it uses less digits than its factorization.

4428363744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 4428363744 is about 66545.9521233260. The cubic root of 4428363744 is about 1642.1560656815.

The spelling of 4428363744 in words is "four billion, four hundred twenty-eight million, three hundred sixty-three thousand, seven hundred forty-four".