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40444350 = 23521923617
BaseRepresentation
bin1001101001001…
…0000110111110
32211002210012220
42122102012332
540323204400
64002510210
71000525362
oct232220676
984083186
1040444350
1120914491
1211665366
1384c0b8b
14552b2a2
15383d7a0
hex26921be

40444350 has 96 divisors (see below), whose sum is σ = 110350080. Its totient is φ = 9757440.

The previous prime is 40444333. The next prime is 40444361. The reversal of 40444350 is 5344404.

40444350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40444350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65242 + ... + 65858.

It is an arithmetic number, because the mean of its divisors is an integer number (1149480).

Almost surely, 240444350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55175040).

40444350 is an abundant number, since it is smaller than the sum of its proper divisors (69905730).

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

40444350 is a wasteful number, since it uses less digits than its factorization.

40444350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 40444350 is about 6359.5872507577. The cubic root of 40444350 is about 343.2569084509.

Adding to 40444350 its reverse (5344404), we get a palindrome (45788754).

The spelling of 40444350 in words is "forty million, four hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 23 25 30 38 46 50 57 69 75 95 114 115 138 150 190 230 285 345 437 475 570 575 617 690 874 950 1150 1234 1311 1425 1725 1851 2185 2622 2850 3085 3450 3702 4370 6170 6555 9255 10925 11723 13110 14191 15425 18510 21850 23446 28382 30850 32775 35169 42573 46275 58615 65550 70338 70955 85146 92550 117230 141910 175845 212865 269629 293075 351690 354775 425730 539258 586150 709550 808887 879225 1064325 1348145 1617774 1758450 2128650 2696290 4044435 6740725 8088870 13481450 20222175 40444350