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4448970752 = 2116413389
BaseRepresentation
bin1000010010010110…
…11110100000000000
3102111001112010112112
410021023132200000
533102414031002
62013244514452
7215151425132
oct41113364000
912431463475
104448970752
111983367636
12a41b4ba28
1355b94aa95
14302c25052
151b08ad852
hex1092de800

4448970752 has 48 divisors (see below), whose sum is σ = 8912276100. Its totient is φ = 2220359680.

The previous prime is 4448970751. The next prime is 4448970787. The reversal of 4448970752 is 2570798444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3270009856 + 1178960896 = 57184^2 + 34336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4448970752.

It is not an unprimeable number, because it can be changed into a prime (4448970751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1311074 + ... + 1314462.

Almost surely, 24448970752 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 4448970752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456138050).

4448970752 is an abundant number, since it is smaller than the sum of its proper divisors (4463305348).

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

4448970752 is an equidigital number, since it uses as much as digits as its factorization.

4448970752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The square root of 4448970752 is about 66700.6053345845. The cubic root of 4448970752 is about 1644.6993352373.

The spelling of 4448970752 in words is "four billion, four hundred forty-eight million, nine hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 641 1024 1282 2048 2564 3389 5128 6778 10256 13556 20512 27112 41024 54224 82048 108448 164096 216896 328192 433792 656384 867584 1312768 1735168 2172349 3470336 4344698 6940672 8689396 17378792 34757584 69515168 139030336 278060672 556121344 1112242688 2224485376 4448970752