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4238892 = 22357289
BaseRepresentation
bin10000001010111000101100
321222100200000
4100022320230
52041121032
6230504300
751013200
oct20127054
97870600
104238892
112435819
121505090
13b55528
147c4b00
1558ae7c
hex40ae2c

4238892 has 108 divisors (see below), whose sum is σ = 13071240. Its totient is φ = 1197504.

The previous prime is 4238873. The next prime is 4238911. The reversal of 4238892 is 2988324.

It is an interprime number because it is at equal distance from previous prime (4238873) and next prime (4238911).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 411 + 211 + 37 + 83 + 83 + 94 + 215 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47584 + ... + 47672.

It is an arithmetic number, because the mean of its divisors is an integer number (121030).

Almost surely, 24238892 is an apocalyptic number.

4238892 is a gapful number since it is divisible by the number (42) 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 4238892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

4238892 is an abundant number, since it is smaller than the sum of its proper divisors (8832348).

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

4238892 is a wasteful number, since it uses less digits than its factorization.

4238892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4238892 is about 2058.8569644344. The cubic root of 4238892 is about 161.8393469081.

The spelling of 4238892 in words is "four million, two hundred thirty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 89 98 108 126 147 162 178 189 196 243 252 267 294 324 356 378 441 486 534 567 588 623 756 801 882 972 1068 1134 1246 1323 1602 1701 1764 1869 2268 2403 2492 2646 3204 3402 3738 3969 4361 4806 5292 5607 6804 7209 7476 7938 8722 9612 11214 11907 13083 14418 15876 16821 17444 21627 22428 23814 26166 28836 33642 39249 43254 47628 50463 52332 67284 78498 86508 100926 117747 151389 156996 201852 235494 302778 353241 470988 605556 706482 1059723 1412964 2119446 4238892