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4426733072 = 242929332561
BaseRepresentation
bin1000001111101101…
…01001011000010000
3102102111200100011202
410013312221120100
533031220424242
62011132130332
7214461416216
oct40766513020
912374610152
104426733072
111971859093
12a366069a8
13557162ca8
142ddcb6cb6
151ad969932
hex107da9610

4426733072 has 40 divisors (see below), whose sum is σ = 8903102040. Its totient is φ = 2129684480.

The previous prime is 4426733033. The next prime is 4426733089. The reversal of 4426733072 is 2703376244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2396689936 + 2030043136 = 48956^2 + 45056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119672 + ... + 152232.

It is an arithmetic number, because the mean of its divisors is an integer number (222577551).

Almost surely, 24426733072 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 4426733072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451551020).

4426733072 is an abundant number, since it is smaller than the sum of its proper divisors (4476368968).

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

4426733072 is a wasteful number, since it uses less digits than its factorization.

4426733072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32891 (or 32885 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 38.

The square root of 4426733072 is about 66533.6987698715. The cubic root of 4426733072 is about 1641.9544752954.

The spelling of 4426733072 in words is "four billion, four hundred twenty-six million, seven hundred thirty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 293 464 586 1172 2344 4688 8497 16994 32561 33988 65122 67976 130244 135952 260488 520976 944269 1888538 3777076 7554152 9540373 15108304 19080746 38161492 76322984 152645968 276670817 553341634 1106683268 2213366536 4426733072