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4285128 = 233612927
BaseRepresentation
bin10000010110001011001000
322001201002110
4100112023020
52044111003
6231502320
751265041
oct20261310
98051073
104285128
112467531
1215279a0
13b705a3
147d78c8
15599a03
hex4162c8

4285128 has 32 divisors (see below), whose sum is σ = 10892160. Its totient is φ = 1404480.

The previous prime is 4285123. The next prime is 4285129. The reversal of 4285128 is 8215824.

4285128 is a nontrivial binomial coefficient, being equal to C(2928, 2).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4285095 and 4285104.

It is not an unprimeable number, because it can be changed into a prime (4285123) 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, 1 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (340380).

Almost surely, 24285128 is an apocalyptic number.

4285128 is the 2927-th triangular number and also the 1464-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4285128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446080).

4285128 is an abundant number, since it is smaller than the sum of its proper divisors (6607032).

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

4285128 is a wasteful number, since it uses less digits than its factorization.

4285128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2993 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 4285128 is about 2070.0550717312. The cubic root of 4285128 is about 162.4256448780.

The spelling of 4285128 in words is "four million, two hundred eighty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 2927 5854 8781 11708 17562 23416 35124 70248 178547 357094 535641 714188 1071282 1428376 2142564 4285128