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4823328 = 253471069
BaseRepresentation
bin10010011001100100100000
3100002001100210
4102121210200
52213321303
6251214120
755666116
oct22314440
910061323
104823328
1127a4924
121747340
13ccb553
148d7ab6
15654203
hex499920

4823328 has 48 divisors (see below), whose sum is σ = 12942720. Its totient is φ = 1572096.

The previous prime is 4823303. The next prime is 4823339. The reversal of 4823328 is 8233284.

It is a tau number, because it is divible by the number of its divisors (48).

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 + 83 + 2 + 38 + 314 + 215 + 83 .

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4823295 and 4823304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3978 + ... + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (269640).

Almost surely, 24823328 is an apocalyptic number.

4823328 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 4823328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471360).

4823328 is an abundant number, since it is smaller than the sum of its proper divisors (8119392).

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

4823328 is a wasteful number, since it uses less digits than its factorization.

4823328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4823328 is about 2196.2076404566. The cubic root of 4823328 is about 168.9593637344.

It can be divided in two parts, 4823 and 328, that added together give a triangular number (5151 = T101).

The spelling of 4823328 in words is "four million, eight hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1069 1128 1504 2138 2256 3207 4276 4512 6414 8552 12828 17104 25656 34208 50243 51312 100486 102624 150729 200972 301458 401944 602916 803888 1205832 1607776 2411664 4823328