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4878048 = 253721761
BaseRepresentation
bin10010100110111011100000
3100011211102110
4102212323200
52222044143
6252315320
756314500
oct22467340
910154373
104878048
112831a4a
121772b40
13101a426
1490da00
15665533
hex4a6ee0

4878048 has 144 divisors (see below), whose sum is σ = 16030224. Its totient is φ = 1290240.

The previous prime is 4878019. The next prime is 4878073. The reversal of 4878048 is 8408784.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4877997 and 4878015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79938 + ... + 79998.

It is an arithmetic number, because the mean of its divisors is an integer number (111321).

Almost surely, 24878048 is an apocalyptic number.

4878048 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 4878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015112).

4878048 is an abundant number, since it is smaller than the sum of its proper divisors (11152176).

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

4878048 is a wasteful number, since it uses less digits than its factorization.

4878048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 4878048 is about 2208.6303448065. The cubic root of 4878048 is about 169.5959029507.

It can be divided in two parts, 48780 and 48, that added together give a triangular number (48828 = T312).

The spelling of 4878048 in words is "four million, eight hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 61 68 84 96 98 102 112 119 122 136 147 168 183 196 204 224 238 244 272 294 336 357 366 392 408 427 476 488 544 588 672 714 732 784 816 833 854 952 976 1037 1176 1281 1428 1464 1568 1632 1666 1708 1904 1952 2074 2352 2499 2562 2856 2928 2989 3111 3332 3416 3808 4148 4704 4998 5124 5712 5856 5978 6222 6664 6832 7259 8296 8967 9996 10248 11424 11956 12444 13328 13664 14518 16592 17934 19992 20496 21777 23912 24888 26656 29036 33184 35868 39984 40992 43554 47824 49776 50813 58072 71736 79968 87108 95648 99552 101626 116144 143472 152439 174216 203252 232288 286944 304878 348432 406504 609756 696864 813008 1219512 1626016 2439024 4878048