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4683328 = 26132433
BaseRepresentation
bin10001110111011001000000
322210221022121
4101313121000
52144331303
6244214024
754544006
oct21673100
98727277
104683328
112709721
12169a314
13c7c900
1489ca76
156279bd
hex477640

4683328 has 42 divisors (see below), whose sum is σ = 10086594. Its totient is φ = 2156544.

The previous prime is 4683323. The next prime is 4683337. The reversal of 4683328 is 8233864.

It can be written as a sum of positive squares in 3 ways, for example, as 222784 + 4460544 = 472^2 + 2112^2 .

It is a super-2 number, since 2×46833282 = 43867122311168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4683293 and 4683302.

It is not an unprimeable number, because it can be changed into a prime (4683323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10600 + ... + 11032.

It is an arithmetic number, because the mean of its divisors is an integer number (240157).

Almost surely, 24683328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043297).

4683328 is an abundant number, since it is smaller than the sum of its proper divisors (5403266).

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

4683328 is a wasteful number, since it uses less digits than its factorization.

4683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 448 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 4683328 is about 2164.0998128552. The cubic root of 4683328 is about 167.3085716849.

It can be divided in two parts, 468 and 3328, that multiplied together give a square (1557504 = 12482).

The spelling of 4683328 in words is "four million, six hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 433 676 832 866 1352 1732 2704 3464 5408 5629 6928 10816 11258 13856 22516 27712 45032 73177 90064 146354 180128 292708 360256 585416 1170832 2341664 4683328