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4430272 = 267112931
BaseRepresentation
bin10000111001100111000000
322100002012011
4100321213000
52113232042
6234542304
752441150
oct20714700
98302164
104430272
112556590
121597994
13bc1682
14834760
155c7a17
hex4399c0

4430272 has 112 divisors (see below), whose sum is σ = 11704320. Its totient is φ = 1612800.

The previous prime is 4430263. The next prime is 4430273. The reversal of 4430272 is 2720344.

4430272 = T133 + T134 + ... + T306.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142897 + ... + 142927.

Almost surely, 24430272 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 4430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160).

4430272 is an abundant number, since it is smaller than the sum of its proper divisors (7274048).

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

4430272 is a wasteful number, since it uses less digits than its factorization.

4430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4430272 is about 2104.8211325431. The cubic root of 4430272 is about 164.2391909313.

The spelling of 4430272 in words is "four million, four hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 31 32 44 56 58 62 64 77 88 112 116 124 154 176 203 217 224 232 248 308 319 341 352 406 434 448 464 496 616 638 682 704 812 868 899 928 992 1232 1276 1364 1624 1736 1798 1856 1984 2233 2387 2464 2552 2728 3248 3472 3596 4466 4774 4928 5104 5456 6293 6496 6944 7192 8932 9548 9889 10208 10912 12586 12992 13888 14384 17864 19096 19778 20416 21824 25172 28768 35728 38192 39556 50344 57536 69223 71456 76384 79112 100688 138446 142912 152768 158224 201376 276892 316448 402752 553784 632896 1107568 2215136 4430272