Search a number
-
+
4869072 = 243413172
BaseRepresentation
bin10010100100101111010000
3100011101010000
4102210233100
52221302242
6252210000
756246355
oct22445720
910141100
104869072
11282622a
121769900
131016310
1490a62c
15662a4c
hex4a4bd0

4869072 has 150 divisors (see below), whose sum is σ = 16121798. Its totient is φ = 1410048.

The previous prime is 4869061. The next prime is 4869083. The reversal of 4869072 is 2709684.

It is an interprime number because it is at equal distance from previous prime (4869061) and next prime (4869083).

It can be written as a sum of positive squares in 3 ways, for example, as 1089936 + 3779136 = 1044^2 + 1944^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 286408 + ... + 286424.

Almost surely, 24869072 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 4869072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060899).

4869072 is an abundant number, since it is smaller than the sum of its proper divisors (11252726).

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

4869072 is a wasteful number, since it uses less digits than its factorization.

4869072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4869072 is about 2206.5973805840. The cubic root of 4869072 is about 169.4918157220.

The spelling of 4869072 in words is "four million, eight hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 81 102 104 108 117 136 144 153 156 162 204 208 216 221 234 272 289 306 312 324 351 408 432 442 459 468 578 612 624 648 663 702 816 867 884 918 936 1053 1156 1224 1296 1326 1377 1404 1734 1768 1836 1872 1989 2106 2312 2448 2601 2652 2754 2808 3468 3536 3672 3757 3978 4212 4624 5202 5304 5508 5616 5967 6936 7344 7514 7803 7956 8424 10404 10608 11016 11271 11934 13872 15028 15606 15912 16848 17901 20808 22032 22542 23409 23868 30056 31212 31824 33813 35802 41616 45084 46818 47736 60112 62424 67626 71604 90168 93636 95472 101439 124848 135252 143208 180336 187272 202878 270504 286416 304317 374544 405756 541008 608634 811512 1217268 1623024 2434536 4869072