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4883328 = 2735157
BaseRepresentation
bin10010101000001110000000
3100012002200000
4102220032000
52222231303
6252400000
756336052
oct22501600
910162600
104883328
112835a0a
121776000
13101c958
149118d2
15666da3
hex4a8380

4883328 has 96 divisors (see below), whose sum is σ = 14665560. Its totient is φ = 1617408.

The previous prime is 4883327. The next prime is 4883357. The reversal of 4883328 is 8233884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 4 + 85 + 85 + 3 + 314 + 211 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 4883292 and 4883301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4883321) 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 11 ways as a sum of consecutive naturals, for example, 31026 + ... + 31182.

Almost surely, 24883328 is an apocalyptic number.

4883328 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 4883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332780).

4883328 is an abundant number, since it is smaller than the sum of its proper divisors (9782232).

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

4883328 is an equidigital number, since it uses as much as digits as its factorization.

4883328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4883328 is about 2209.8253324641. The cubic root of 4883328 is about 169.6570710982.

The spelling of 4883328 in words is "four million, eight hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 157 162 192 216 243 288 314 324 384 432 471 486 576 628 648 864 942 972 1152 1256 1296 1413 1728 1884 1944 2512 2592 2826 3456 3768 3888 4239 5024 5184 5652 7536 7776 8478 10048 10368 11304 12717 15072 15552 16956 20096 22608 25434 30144 31104 33912 38151 45216 50868 60288 67824 76302 90432 101736 135648 152604 180864 203472 271296 305208 406944 542592 610416 813888 1220832 1627776 2441664 4883328