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4381128 = 23346761
BaseRepresentation
bin10000101101100111001000
322020120210000
4100231213020
52110144003
6233523000
752144653
oct20554710
98216700
104381128
112522674
121573460
13ba51ab
1482089a
155b81a3
hex42d9c8

4381128 has 40 divisors (see below), whose sum is σ = 12273030. Its totient is φ = 1460160.

The previous prime is 4381127. The next prime is 4381147. The reversal of 4381128 is 8211834.

It can be written as a sum of positive squares in only one way, i.e., 3175524 + 1205604 = 1782^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (4381127) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2733 + ... + 4028.

Almost surely, 24381128 is an apocalyptic number.

It is an amenable number.

4381128 is an abundant number, since it is smaller than the sum of its proper divisors (7891902).

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

4381128 is a wasteful number, since it uses less digits than its factorization.

4381128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6766 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 4381128 is about 2093.1144259213. The cubic root of 4381128 is about 163.6296421482.

The spelling of 4381128 in words is "four million, three hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 6761 13522 20283 27044 40566 54088 60849 81132 121698 162264 182547 243396 365094 486792 547641 730188 1095282 1460376 2190564 4381128