Search a number
-
+
43130208 = 2531124779
BaseRepresentation
bin1010010010000…
…1110101100000
310000011020112010
42210201311200
542020131313
64140232520
71032413022
oct244416540
9100136463
1043130208
1122389400
121253b740
138c21544
145a2a012
153bbe4c3
hex2921d60

43130208 has 144 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 12629760.

The previous prime is 43130189. The next prime is 43130231. The reversal of 43130208 is 80203134.

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 23 ways as a sum of consecutive naturals, for example, 545913 + ... + 545991.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 243130208 is an apocalyptic number.

43130208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

43130208 is the 3792-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

43130208 is an abundant number, since it is smaller than the sum of its proper divisors (85571232).

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

43130208 is a wasteful number, since it uses less digits than its factorization.

43130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 43130208 is about 6567.3592866540. The cubic root of 43130208 is about 350.6930702135.

The spelling of 43130208 in words is "forty-three million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 79 88 94 96 121 132 141 158 176 188 237 242 264 282 316 352 363 376 474 484 517 528 564 632 726 752 869 948 968 1034 1056 1128 1264 1452 1504 1551 1738 1896 1936 2068 2256 2528 2607 2904 3102 3476 3713 3792 3872 4136 4512 5214 5687 5808 6204 6952 7426 7584 8272 9559 10428 11139 11374 11616 12408 13904 14852 16544 17061 19118 20856 22278 22748 24816 27808 28677 29704 34122 38236 40843 41712 44556 45496 49632 57354 59408 68244 76472 81686 83424 89112 90992 114708 118816 122529 136488 152944 163372 178224 181984 229416 245058 272976 305888 326744 356448 449273 458832 490116 545952 653488 898546 917664 980232 1306976 1347819 1797092 1960464 2695638 3594184 3920928 5391276 7188368 10782552 14376736 21565104 43130208