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4884096 = 27372379
BaseRepresentation
bin10010101000011010000000
3100012010201110
4102220122000
52222242341
6252403320
756341230
oct22503200
910163643
104884096
112836548
121776540
1310200c9
14911cc0
15667216
hex4a8680

4884096 has 128 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 1317888.

The previous prime is 4884059. The next prime is 4884097. The reversal of 4884096 is 6904884.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4884097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61785 + ... + 61863.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 24884096 is an apocalyptic number.

4884096 is a gapful number since it is divisible by the number (46) 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 4884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

4884096 is an abundant number, since it is smaller than the sum of its proper divisors (10783104).

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

4884096 is a wasteful number, since it uses less digits than its factorization.

4884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4884096 is about 2209.9990950224. Note that the first 3 decimals coincide. The cubic root of 4884096 is about 169.6659646096.

The spelling of 4884096 in words is "four million, eight hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 79 84 92 96 112 128 138 158 161 168 184 192 224 237 276 316 322 336 368 384 448 474 483 552 553 632 644 672 736 896 948 966 1104 1106 1264 1288 1344 1472 1659 1817 1896 1932 2208 2212 2528 2576 2688 2944 3318 3634 3792 3864 4416 4424 5056 5152 5451 6636 7268 7584 7728 8832 8848 10112 10304 10902 12719 13272 14536 15168 15456 17696 20608 21804 25438 26544 29072 30336 30912 35392 38157 43608 50876 53088 58144 61824 70784 76314 87216 101752 106176 116288 152628 174432 203504 212352 232576 305256 348864 407008 610512 697728 814016 1221024 1628032 2442048 4884096