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40011444 = 223211232191
BaseRepresentation
bin1001100010100…
…0011010110100
32210021210101100
42120220122310
540220331234
63545330100
7664043304
oct230503264
983253340
1040011444
1120649210
1211496930
13839bb15
145457604
1537a5399
hex26286b4

40011444 has 108 divisors (see below), whose sum is σ = 115944192. Its totient is φ = 11536800.

The previous prime is 40011437. The next prime is 40011469. The reversal of 40011444 is 44411004.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209389 + ... + 209579.

Almost surely, 240011444 is an apocalyptic number.

40011444 is a gapful number since it is divisible by the number (44) 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 40011444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57972096).

40011444 is an abundant number, since it is smaller than the sum of its proper divisors (75932748).

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

40011444 is a wasteful number, since it uses less digits than its factorization.

40011444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40011444 is about 6325.4599832739. The cubic root of 40011444 is about 342.0278011667.

Adding to 40011444 its reverse (44411004), we get a palindrome (84422448).

It can be divided in two parts, 4001 and 1444, that added together give a palindrome (5445).

The spelling of 40011444 in words is "forty million, eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 191 198 207 253 276 382 396 414 506 529 573 759 764 828 1012 1058 1146 1518 1587 1719 2101 2116 2277 2292 3036 3174 3438 4202 4393 4554 4761 5819 6303 6348 6876 8404 8786 9108 9522 11638 12606 13179 17457 17572 18909 19044 23276 25212 26358 34914 37818 39537 48323 52371 52716 69828 75636 79074 96646 101039 104742 144969 158148 193292 202078 209484 289938 303117 404156 434907 579876 606234 869814 909351 1111429 1212468 1739628 1818702 2222858 3334287 3637404 4445716 6668574 10002861 13337148 20005722 40011444