Search a number
-
+
43113312 = 25321131439
BaseRepresentation
bin1010010001110…
…1101101100000
310000010101100100
42210131231200
542014111222
64140022400
71032312534
oct244355540
9100111310
1043113312
1122377740
1212531a00
138c16948
145a23bc4
153bb94ac
hex291db60

43113312 has 144 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 12614400.

The previous prime is 43113307. The next prime is 43113319. The reversal of 43113312 is 21331134.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43113319) 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, 97989 + ... + 98427.

It is an arithmetic number, because the mean of its divisors is an integer number (960960).

Almost surely, 243113312 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 43113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

43113312 is an abundant number, since it is smaller than the sum of its proper divisors (95264928).

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

43113312 is a wasteful number, since it uses less digits than its factorization.

43113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 43113312 is about 6566.0727988654. The cubic root of 43113312 is about 350.6472702642.

Adding to 43113312 its reverse (21331134), we get a palindrome (64444446).

The spelling of 43113312 in words is "forty-three million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 439 496 528 558 682 744 792 878 992 1023 1056 1116 1317 1364 1488 1584 1756 2046 2232 2634 2728 2976 3069 3168 3512 3951 4092 4464 4829 5268 5456 6138 7024 7902 8184 8928 9658 10536 10912 12276 13609 14048 14487 15804 16368 19316 21072 24552 27218 28974 31608 32736 38632 40827 42144 43461 49104 54436 57948 63216 77264 81654 86922 98208 108872 115896 122481 126432 149699 154528 163308 173844 217744 231792 244962 299398 326616 347688 435488 449097 463584 489924 598796 653232 695376 898194 979848 1197592 1306464 1347291 1390752 1796388 1959696 2395184 2694582 3592776 3919392 4790368 5389164 7185552 10778328 14371104 21556656 43113312