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40827300 = 22352236197
BaseRepresentation
bin1001101110111…
…1100110100100
32211211020112020
42123233212210
540422433200
64015023140
71004012013
oct233574644
984736466
1040827300
1121056178
121180aab0
1385c6287
1455caa7a
1538b6ea0
hex26ef9a4

40827300 has 144 divisors (see below), whose sum is σ = 126575232. Its totient is φ = 10137600.

The previous prime is 40827287. The next prime is 40827301. The reversal of 40827300 is 372804.

It is not an unprimeable number, because it can be changed into a prime (40827301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420852 + ... + 420948.

Almost surely, 240827300 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 40827300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63287616).

40827300 is an abundant number, since it is smaller than the sum of its proper divisors (85747932).

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

40827300 is a wasteful number, since it uses less digits than its factorization.

40827300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40827300 is about 6389.6244021069. The cubic root of 40827300 is about 344.3368905340.

The spelling of 40827300 in words is "forty million, eight hundred twenty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 61 69 75 92 97 100 115 122 138 150 183 194 230 244 276 291 300 305 345 366 388 460 485 575 582 610 690 732 915 970 1150 1164 1220 1380 1403 1455 1525 1725 1830 1940 2231 2300 2425 2806 2910 3050 3450 3660 4209 4462 4575 4850 5612 5820 5917 6100 6693 6900 7015 7275 8418 8924 9150 9700 11155 11834 13386 14030 14550 16836 17751 18300 21045 22310 23668 26772 28060 29100 29585 33465 35075 35502 42090 44620 55775 59170 66930 70150 71004 84180 88755 105225 111550 118340 133860 136091 140300 147925 167325 177510 210450 223100 272182 295850 334650 355020 408273 420900 443775 544364 591700 669300 680455 816546 887550 1360910 1633092 1775100 2041365 2721820 3402275 4082730 6804550 8165460 10206825 13609100 20413650 40827300