Search a number
-
+
48522561552 = 24324373107347
BaseRepresentation
bin101101001100001010…
…111000100000010000
311122020121202112002100
4231030022320200100
51243333233432202
634142502520400
73335301653013
oct551412704020
9148217675070
1048522561552
111963a7a2743
1294a2136100
134763949aaa
1424c442137a
1513ded0541c
hexb4c2b8810

48522561552 has 120 divisors (see below), whose sum is σ = 140858610464. Its totient is φ = 15581486592.

The previous prime is 48522561539. The next prime is 48522561553. The reversal of 48522561552 is 25516522584.

48522561552 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 25 + 615 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48522561498 and 48522561507.

It is not an unprimeable number, because it can be changed into a prime (48522561553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398343 + ... + 505689.

Almost surely, 248522561552 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 48522561552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70429305232).

48522561552 is an abundant number, since it is smaller than the sum of its proper divisors (92336048912).

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

48522561552 is a wasteful number, since it uses less digits than its factorization.

48522561552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107477 (or 107468 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

It can be divided in two parts, 4852 and 2561552, that added together give a square (2566404 = 16022).

The spelling of 48522561552 in words is "forty-eight billion, five hundred twenty-two million, five hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 73 86 129 144 146 172 219 258 292 344 387 438 516 584 657 688 774 876 1032 1168 1314 1548 1752 2064 2628 3096 3139 3504 5256 6192 6278 9417 10512 12556 18834 25112 28251 37668 50224 56502 75336 107347 113004 150672 214694 226008 322041 429388 452016 644082 858776 966123 1288164 1717552 1932246 2576328 3864492 4615921 5152656 7728984 7836331 9231842 13847763 15457968 15672662 18463684 23508993 27695526 31345324 36927368 41543289 47017986 55391052 62690648 70526979 73854736 83086578 94035972 110782104 125381296 141053958 166173156 188071944 221564208 282107916 332346312 336962233 376143888 564215832 664692624 673924466 1010886699 1128431664 1347848932 2021773398 2695697864 3032660097 4043546796 5391395728 6065320194 8087093592 12130640388 16174187184 24261280776 48522561552