Search a number
-
+
4434192 = 243275383
BaseRepresentation
bin10000111010100100010000
322100021120100
4100322210100
52113343232
6235012400
752455450
oct20724420
98307510
104434192
112559524
12159a100
13bc33a9
14835d60
155c8c7c
hex43a910

4434192 has 120 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1228032.

The previous prime is 4434181. The next prime is 4434197. The reversal of 4434192 is 2914344.

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

It is not an unprimeable number, because it can be changed into a prime (4434197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53383 + ... + 53465.

Almost surely, 24434192 is an apocalyptic number.

4434192 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 4434192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4434192 is an abundant number, since it is smaller than the sum of its proper divisors (10189872).

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

4434192 is a wasteful number, since it uses less digits than its factorization.

4434192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4434192 is about 2105.7521221644. The cubic root of 4434192 is about 164.2876174413.

The spelling of 4434192 in words is "four million, four hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 83 84 106 112 126 144 159 166 168 212 249 252 318 332 336 371 424 477 498 504 581 636 664 742 747 848 954 996 1008 1113 1162 1272 1328 1484 1494 1743 1908 1992 2226 2324 2544 2968 2988 3339 3486 3816 3984 4399 4452 4648 5229 5936 5976 6678 6972 7632 8798 8904 9296 10458 11952 13197 13356 13944 17596 17808 20916 26394 26712 27888 30793 35192 39591 41832 52788 53424 61586 70384 79182 83664 92379 105576 123172 158364 184758 211152 246344 277137 316728 369516 492688 554274 633456 739032 1108548 1478064 2217096 4434192