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48479444384 = 25734799221
BaseRepresentation
bin101101001001100110…
…011001110110100000
311122010121121221110012
4231021212121312200
51243241214210014
634134322424052
73334236323000
oct551146316640
9148117557405
1048479444384
1119618423118
12948b802028
134757a31487
1424bc7da000
1513db139c3e
hexb49999da0

48479444384 has 96 divisors (see below), whose sum is σ = 111549312000. Its totient is φ = 20731280640.

The previous prime is 48479444381. The next prime is 48479444389. The reversal of 48479444384 is 48344497484.

It is not an unprimeable number, because it can be changed into a prime (48479444381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5252894 + ... + 5262114.

It is an arithmetic number, because the mean of its divisors is an integer number (1161972000).

Almost surely, 248479444384 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 48479444384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55774656000).

48479444384 is an abundant number, since it is smaller than the sum of its proper divisors (63069867616).

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

48479444384 is an equidigital number, since it uses as much as digits as its factorization.

48479444384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9731 (or 9709 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 59.

The spelling of 48479444384 in words is "forty-eight billion, four hundred seventy-nine million, four hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 479 686 784 958 1372 1568 1916 2744 3353 3832 5488 6706 7664 9221 10976 13412 15328 18442 23471 26824 36884 46942 53648 64547 73768 93884 107296 129094 147536 164297 187768 258188 295072 328594 375536 451829 516376 657188 751072 903658 1032752 1314376 1807316 2065504 2628752 3162803 3614632 4416859 5257504 6325606 7229264 8833718 12651212 14458528 17667436 25302424 30918013 35334872 50604848 61836026 70669744 101209696 123672052 141339488 216426091 247344104 432852182 494688208 865704364 989376416 1514982637 1731408728 3029965274 3462817456 6059930548 6925634912 12119861096 24239722192 48479444384