Search a number
-
+
4274112 = 263113197
BaseRepresentation
bin10000010011011111000000
322001010222110
4100103133000
52043232422
6231335320
751220653
oct20233700
98033873
104274112
11245a227
121521540
13b6857b
147d389a
1559660c
hex4137c0

4274112 has 56 divisors (see below), whose sum is σ = 11466576. Its totient is φ = 1404928.

The previous prime is 4274099. The next prime is 4274147. The reversal of 4274112 is 2114724.

4274112 = T333 + T334 + ... + T396.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21598 + ... + 21794.

Almost surely, 24274112 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 4274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733288).

4274112 is an abundant number, since it is smaller than the sum of its proper divisors (7192464).

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

4274112 is a wasteful number, since it uses less digits than its factorization.

4274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 4274112 is about 2067.3925606909. The cubic root of 4274112 is about 162.2863401040.

Adding to 4274112 its reverse (2114724), we get a palindrome (6388836).

The spelling of 4274112 in words is "four million, two hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 197 226 339 394 452 591 678 788 904 1182 1356 1576 1808 2364 2712 3152 3616 4728 5424 6304 7232 9456 10848 12608 18912 21696 22261 37824 44522 66783 89044 133566 178088 267132 356176 534264 712352 1068528 1424704 2137056 4274112