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4576768 = 2971277
BaseRepresentation
bin10001011101011000000000
322121112010221
4101131120000
52132424033
6242032424
753621230
oct21353000
98545127
104576768
112646659
121648714
13c43261
14871cc0
1560612d
hex45d600

4576768 has 40 divisors (see below), whose sum is σ = 10459152. Its totient is φ = 1959936.

The previous prime is 4576763. The next prime is 4576771. The reversal of 4576768 is 8676754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576763) 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, 2946 + ... + 4222.

Almost surely, 24576768 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 4576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229576).

4576768 is an abundant number, since it is smaller than the sum of its proper divisors (5882384).

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

4576768 is an equidigital number, since it uses as much as digits as its factorization.

4576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1286 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 4576768 is about 2139.3382154302. The cubic root of 4576768 is about 166.0298973585.

It can be divided in two parts, 457 and 6768, that added together give a square (7225 = 852).

The spelling of 4576768 in words is "four million, five hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1277 1792 2554 3584 5108 8939 10216 17878 20432 35756 40864 71512 81728 143024 163456 286048 326912 572096 653824 1144192 2288384 4576768