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4643328 = 2933023
BaseRepresentation
bin10001101101101000000000
322201220110010
4101231220000
52142041303
6243304520
754316254
oct21555000
98656403
104643328
112691668
12167b140
13c67641
1488c264
1561ac03
hex46da00

4643328 has 40 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 1547264.

The previous prime is 4643323. The next prime is 4643333. The reversal of 4643328 is 8233464.

4643328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4643323) and next prime (4643333).

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

It is a junction number, because it is equal to n+sod(n) for n = 4643295 and 4643304.

It is not an unprimeable number, because it can be changed into a prime (4643321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25 + ... + 3047.

Almost surely, 24643328 is an apocalyptic number.

4643328 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 4643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

4643328 is an abundant number, since it is smaller than the sum of its proper divisors (7730880).

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

4643328 is an equidigital number, since it uses as much as digits as its factorization.

4643328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3028 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 4643328 is about 2154.8382769944. The cubic root of 4643328 is about 166.8308852515.

The spelling of 4643328 in words is "four million, six hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 3023 6046 9069 12092 18138 24184 36276 48368 72552 96736 145104 193472 290208 386944 580416 773888 1160832 1547776 2321664 4643328