Search a number
-
+
244752144 = 243713137409
BaseRepresentation
bin11101001011010…
…01111100010000
3122001112200211020
432211221330100
51000124032034
640141515440
76031234050
oct1645517420
9561480736
10244752144
111161799aa
1269b72b80
133b925b70
1424711560
1516749249
hexe969f10

244752144 has 160 divisors (see below), whose sum is σ = 785783040. Its totient is φ = 63922176.

The previous prime is 244752133. The next prime is 244752149. The reversal of 244752144 is 441257442.

244752144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2447521442 = 119807223985193472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (244752149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598212 + ... + 598620.

It is an arithmetic number, because the mean of its divisors is an integer number (4911144).

Almost surely, 2244752144 is an apocalyptic number.

244752144 is a gapful number since it is divisible by the number (24) 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 244752144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392891520).

244752144 is an abundant number, since it is smaller than the sum of its proper divisors (541030896).

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

244752144 is a wasteful number, since it uses less digits than its factorization.

244752144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 244752144 is about 15644.5563695491. The cubic root of 244752144 is about 625.5213944622.

The spelling of 244752144 in words is "two hundred forty-four million, seven hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 137 156 168 182 208 273 274 312 336 364 409 411 546 548 624 728 818 822 959 1092 1096 1227 1456 1636 1644 1781 1918 2184 2192 2454 2863 2877 3272 3288 3562 3836 4368 4908 5317 5343 5726 5754 6544 6576 7124 7672 8589 9816 10634 10686 11452 11508 12467 14248 15344 15951 17178 19632 21268 21372 22904 23016 24934 28496 31902 34356 37219 37401 42536 42744 45808 46032 49868 56033 63804 68712 74438 74802 85072 85488 99736 111657 112066 127608 137424 148876 149604 168099 199472 223314 224132 255216 297752 299208 336198 392231 446628 448264 595504 598416 672396 728429 784462 893256 896528 1176693 1344792 1456858 1568924 1786512 2185287 2353386 2689584 2913716 3137848 4370574 4706772 5099003 5827432 6275696 8741148 9413544 10198006 11654864 15297009 17482296 18827088 20396012 30594018 34964592 40792024 61188036 81584048 122376072 244752144