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4808233768 = 2313377317117
BaseRepresentation
bin1000111101001011…
…11101001100101000
3110102002112120202011
410132211331030220
534321401440033
62113041045304
7230103212152
oct43645751450
913362476664
104808233768
112048139218
12b22326834
135b81c8250
14338823ad2
151d21c6ccd
hex11e97d328

4808233768 has 64 divisors (see below), whose sum is σ = 10108521360. Its totient is φ = 2129504256.

The previous prime is 4808233763. The next prime is 4808233769. The reversal of 4808233768 is 8673328084.

It can be written as a sum of positive squares in 8 ways, for example, as 1006031524 + 3802202244 = 31718^2 + 61662^2 .

It is a super-3 number, since 3×48082337683 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4808233763) 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, 272346 + ... + 289462.

Almost surely, 24808233768 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 4808233768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054260680).

4808233768 is an abundant number, since it is smaller than the sum of its proper divisors (5300287592).

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

4808233768 is a wasteful number, since it uses less digits than its factorization.

4808233768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17246 (or 17242 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 4808233768 is about 69341.4289440303. The cubic root of 4808233768 is about 1687.8293114096.

The spelling of 4808233768 in words is "four billion, eight hundred eight million, two hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 37 52 73 74 104 146 148 292 296 481 584 949 962 1898 1924 2701 3796 3848 5402 7592 10804 17117 21608 34234 35113 68468 70226 136936 140452 222521 280904 445042 633329 890084 1249541 1266658 1780168 2499082 2533316 4998164 5066632 8233277 9996328 16244033 16466554 32488066 32933108 46233017 64976132 65866216 92466034 129952264 184932068 369864136 601029221 1202058442 2404116884 4808233768