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848121848 = 23719241953
BaseRepresentation
bin110010100011010…
…100111111111000
32012002220001110022
4302203110333320
53214104344343
6220054110012
730005626310
oct6243247770
92162801408
10848121848
113a5819552
121b804b308
13106931462
14808d4440
154e6d0568
hex328d4ff8

848121848 has 48 divisors (see below), whose sum is σ = 1918136880. Its totient is φ = 344342016.

The previous prime is 848121821. The next prime is 848121877.

848121848 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 848121799 and 848121808.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 761 + ... + 41192.

It is an arithmetic number, because the mean of its divisors is an integer number (39961185).

Almost surely, 2848121848 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 848121848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959068440).

848121848 is an abundant number, since it is smaller than the sum of its proper divisors (1070015032).

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

848121848 is a wasteful number, since it uses less digits than its factorization.

848121848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42004 (or 41981 counting only the distinct ones).

The product of its digits is 131072, while the sum is 44.

The square root of 848121848 is about 29122.5316207228. The cubic root of 848121848 is about 946.5700310227.

The spelling of 848121848 in words is "eight hundred forty-eight million, one hundred twenty-one thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2527 2888 5054 10108 20216 41953 83906 167812 293671 335624 587342 797107 1174684 1594214 2349368 3188428 5579749 6376856 11159498 15145033 22318996 30290066 44637992 60580132 106015231 121160264 212030462 424060924 848121848