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4131888 = 243591459
BaseRepresentation
bin1111110000110000110000
321202220212220
433300300300
52024210023
6224321040
750056215
oct17606060
97686786
104131888
112372392
121473180
13b18907
14797b0c
155693e3
hex3f0c30

4131888 has 40 divisors (see below), whose sum is σ = 10862400. Its totient is φ = 1353024.

The previous prime is 4131877. The next prime is 4131889. The reversal of 4131888 is 8881314.

It is a happy number.

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

It is an Ulam number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4131889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2103 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (271560).

Almost surely, 24131888 is an apocalyptic number.

4131888 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 4131888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431200).

4131888 is an abundant number, since it is smaller than the sum of its proper divisors (6730512).

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

4131888 is a wasteful number, since it uses less digits than its factorization.

4131888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 4131888 is about 2032.7046022480. The cubic root of 4131888 is about 160.4659335119.

The spelling of 4131888 in words is "four million, one hundred thirty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 1459 2832 2918 4377 5836 8754 11672 17508 23344 35016 70032 86081 172162 258243 344324 516486 688648 1032972 1377296 2065944 4131888