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4428514944 = 27347223379
BaseRepresentation
bin1000001111111010…
…11100011010000000
3102102122000212110000
410013331130122000
533032144434234
62011234240000
7214512520200
oct40775343200
912378025400
104428514944
111972865907
12a37126000
13557638059
1430021c400
151adbbc899
hex107f5c680

4428514944 has 480 divisors, whose sum is σ = 16039663200. Its totient is φ = 1207084032.

The previous prime is 4428514939. The next prime is 4428514949. The reversal of 4428514944 is 4494158244.

4428514944 is a `hidden beast` number, since 4 + 42 + 8 + 514 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4428514939) and next prime (4428514949).

It is a super-2 number, since 2×44285149442 = 39223489218462646272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4428514944.

It is not an unprimeable number, because it can be changed into a prime (4428514949) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11684547 + ... + 11684925.

It is an arithmetic number, because the mean of its divisors is an integer number (33415965).

Almost surely, 24428514944 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 4428514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8019831600).

4428514944 is an abundant number, since it is smaller than the sum of its proper divisors (11611148256).

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

4428514944 is a wasteful number, since it uses less digits than its factorization.

4428514944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 414 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4428514944 is about 66547.0881707081. The cubic root of 4428514944 is about 1642.1747551407.

The spelling of 4428514944 in words is "four billion, four hundred twenty-eight million, five hundred fourteen thousand, nine hundred forty-four".