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4863085248 = 26375776271
BaseRepresentation
bin1001000011101110…
…01100101011000000
3110112220202022211110
410201313030223000
534424422211443
62122320443320
7231340354050
oct44167145300
913486668743
104863085248
1120760a2a1a
12b38779540
135c6691948
14341c21560
151d6e0e233
hex121dccac0

4863085248 has 112 divisors (see below), whose sum is σ = 14732877824. Its totient is φ = 1386823680.

The previous prime is 4863085151. The next prime is 4863085261. The reversal of 4863085248 is 8425803684.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4863085197 and 4863085206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772353 + ... + 778623.

It is an arithmetic number, because the mean of its divisors is an integer number (131543552).

Almost surely, 24863085248 is an apocalyptic number.

4863085248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4863085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366438912).

4863085248 is an abundant number, since it is smaller than the sum of its proper divisors (9869792576).

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

4863085248 is a wasteful number, since it uses less digits than its factorization.

4863085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 4863085248 is about 69735.8247101158. The cubic root of 4863085248 is about 1694.2232119086.

The spelling of 4863085248 in words is "four billion, eight hundred sixty-three million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 577 672 1154 1344 1731 2308 3462 4039 4616 6271 6924 8078 9232 12117 12542 13848 16156 18464 18813 24234 25084 27696 32312 36928 37626 43897 48468 50168 55392 64624 75252 87794 96936 100336 110784 129248 131691 150504 175588 193872 200672 258496 263382 301008 351176 387744 401344 526764 602016 702352 775488 1053528 1204032 1404704 2107056 2809408 3618367 4214112 7236734 8428224 10855101 14473468 21710202 25328569 28946936 43420404 50657138 57893872 75985707 86840808 101314276 115787744 151971414 173681616 202628552 231575488 303942828 347363232 405257104 607885656 694726464 810514208 1215771312 1621028416 2431542624 4863085248