Search a number
-
+
4128192 = 26332389
BaseRepresentation
bin1111101111110111000000
321202201211000
433233313000
52024100232
6224252000
750042355
oct17576700
97681730
104128192
11236a632
121471000
13b17023
1479662c
1556827c
hex3efdc0

4128192 has 56 divisors (see below), whose sum is σ = 12141200. Its totient is φ = 1375488.

The previous prime is 4128181. The next prime is 4128193. The reversal of 4128192 is 2918214.

4128192 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128193) 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, 534 + ... + 2922.

Almost surely, 24128192 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 4128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070600).

4128192 is an abundant number, since it is smaller than the sum of its proper divisors (8013008).

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

4128192 is a wasteful number, since it uses less digits than its factorization.

4128192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2394 counting only the distinct ones).

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

The square root of 4128192 is about 2031.7952652765. The cubic root of 4128192 is about 160.4180733071.

The spelling of 4128192 in words is "four million, one hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2389 4778 7167 9556 14334 19112 21501 28668 38224 43002 57336 64503 76448 86004 114672 129006 152896 172008 229344 258012 344016 458688 516024 688032 1032048 1376064 2064096 4128192