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40853340 = 223251147439
BaseRepresentation
bin1001101111010…
…1111101011100
32211212120020200
42123311331130
540424301330
64015343500
71004150643
oct233657534
984776220
1040853340
11210737a0
1211821b90
138605098
1455d635a
1538bea60
hex26f5f5c

40853340 has 144 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 9671040.

The previous prime is 40853333. The next prime is 40853341. The reversal of 40853340 is 4335804.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40853341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92841 + ... + 93279.

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

Almost surely, 240853340 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 40853340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

40853340 is an abundant number, since it is smaller than the sum of its proper divisors (97524900).

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

40853340 is a wasteful number, since it uses less digits than its factorization.

40853340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40853340 is about 6391.6617557565. The cubic root of 40853340 is about 344.4100819769.

The spelling of 40853340 in words is "forty million, eight hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 439 470 495 517 564 660 705 846 878 940 990 1034 1317 1410 1551 1692 1756 1980 2068 2115 2195 2585 2634 2820 3102 3951 4230 4390 4653 4829 5170 5268 6204 6585 7755 7902 8460 8780 9306 9658 10340 13170 14487 15510 15804 18612 19316 19755 20633 23265 24145 26340 28974 31020 39510 41266 43461 46530 48290 57948 61899 72435 79020 82532 86922 93060 96580 103165 123798 144870 173844 185697 206330 217305 226963 247596 289740 309495 371394 412660 434610 453926 618990 680889 742788 869220 907852 928485 1134815 1237980 1361778 1856970 2042667 2269630 2723556 3404445 3713940 4085334 4539260 6808890 8170668 10213335 13617780 20426670 40853340