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4129128 = 233257349
BaseRepresentation
bin1111110000000101101000
321202210002200
433300011220
52024113003
6224300200
750045163
oct17600550
97683080
104129128
112370303
121471660
13b17593
14796ada
155686a3
hex3f0168

4129128 has 24 divisors (see below), whose sum is σ = 11183250. Its totient is φ = 1376352.

The previous prime is 4129109. The next prime is 4129129. The reversal of 4129128 is 8219214.

It can be written as a sum of positive squares in only one way, i.e., 3392964 + 736164 = 1842^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (4129129) 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, 28603 + ... + 28746.

Almost surely, 24129128 is an apocalyptic number.

It is an amenable number.

4129128 is an abundant number, since it is smaller than the sum of its proper divisors (7054122).

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

4129128 is a wasteful number, since it uses less digits than its factorization.

4129128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57361 (or 57354 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4129128 is about 2032.0255903900. The cubic root of 4129128 is about 160.4301964488.

The spelling of 4129128 in words is "four million, one hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57349 114698 172047 229396 344094 458792 516141 688188 1032282 1376376 2064564 4129128