Search a number
-
+
40888224 = 25321367163
BaseRepresentation
bin1001101111111…
…0011110100000
32211221100002200
42123332132200
540431410344
64020213200
71004354436
oct233763640
984840080
1040888224
1121097a23
121183a200
138617c20
145604d56
1538ca069
hex26fe7a0

40888224 has 144 divisors (see below), whose sum is σ = 127868832. Its totient is φ = 12317184.

The previous prime is 40888217. The next prime is 40888229. The reversal of 40888224 is 42288804.

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 (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (40888229) 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, 250767 + ... + 250929.

It is an arithmetic number, because the mean of its divisors is an integer number (887978).

Almost surely, 240888224 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 40888224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63934416).

40888224 is an abundant number, since it is smaller than the sum of its proper divisors (86980608).

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

40888224 is a wasteful number, since it uses less digits than its factorization.

40888224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 40888224 is about 6394.3900412784. The cubic root of 40888224 is about 344.5080828037.

The spelling of 40888224 in words is "forty million, eight hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 163 201 208 234 268 288 312 326 402 416 468 489 536 603 624 652 804 871 936 978 1072 1206 1248 1304 1467 1608 1742 1872 1956 2119 2144 2412 2608 2613 2934 3216 3484 3744 3912 4238 4824 5216 5226 5868 6357 6432 6968 7824 7839 8476 9648 10452 10921 11736 12714 13936 15648 15678 16952 19071 19296 20904 21842 23472 25428 27872 31356 32763 33904 38142 41808 43684 46944 50856 62712 65526 67808 76284 83616 87368 98289 101712 125424 131052 141973 152568 174736 196578 203424 250848 262104 283946 305136 349472 393156 425919 524208 567892 610272 786312 851838 1048416 1135784 1277757 1572624 1703676 2271568 2555514 3145248 3407352 4543136 5111028 6814704 10222056 13629408 20444112 40888224