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40224444 = 223131941331
BaseRepresentation
bin1001100101110…
…0011010111100
32210200121120020
42121130122330
540244140234
63554052140
7665621301
oct231343274
983617506
1040224444
1120784247
121157a050
138444a60
1454b10a8
1537e8549
hex265c6bc

40224444 has 96 divisors (see below), whose sum is σ = 109320960. Its totient is φ = 11404800.

The previous prime is 40224427. The next prime is 40224449. The reversal of 40224444 is 44442204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121359 + ... + 121689.

It is an arithmetic number, because the mean of its divisors is an integer number (1138760).

Almost surely, 240224444 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 40224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54660480).

40224444 is an abundant number, since it is smaller than the sum of its proper divisors (69096516).

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

40224444 is a wasteful number, since it uses less digits than its factorization.

40224444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 40224444 is about 6342.2743554659. The cubic root of 40224444 is about 342.6336530612.

Adding to 40224444 its reverse (44442204), we get a palindrome (84666648).

The spelling of 40224444 in words is "forty million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 41 52 57 76 78 82 114 123 156 164 228 246 247 331 492 494 533 662 741 779 988 993 1066 1324 1482 1558 1599 1986 2132 2337 2964 3116 3198 3972 4303 4674 6289 6396 8606 9348 10127 12578 12909 13571 17212 18867 20254 25156 25818 27142 30381 37734 40508 40713 51636 54284 60762 75468 81426 81757 121524 162852 163514 176423 245271 257849 327028 352846 490542 515698 529269 705692 773547 981084 1031396 1058538 1547094 2117076 3094188 3352037 6704074 10056111 13408148 20112222 40224444