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40402950 = 23527223239
BaseRepresentation
bin1001101000100…
…0000000000110
32211000200102120
42122020000012
540320343300
64001550410
71000263600
oct232100006
984020376
1040402950
1120896375
1211645406
1384a8093
14551a170
1538313a0
hex2688006

40402950 has 144 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 8796480.

The previous prime is 40402933. The next prime is 40402961. The reversal of 40402950 is 5920404.

It is a self number, because there is not a number n which added to its sum of digits gives 40402950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168931 + ... + 169169.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 240402950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40402950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

40402950 is an abundant number, since it is smaller than the sum of its proper divisors (81732090).

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

40402950 is a wasteful number, since it uses less digits than its factorization.

40402950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 40402950 is about 6356.3314891532. The cubic root of 40402950 is about 343.1397459166.

The spelling of 40402950 in words is "forty million, four hundred two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 49 50 69 70 75 98 105 115 138 147 150 161 175 210 230 239 245 294 322 345 350 478 483 490 525 575 690 717 735 805 966 1050 1127 1150 1195 1225 1434 1470 1610 1673 1725 2254 2390 2415 2450 3346 3381 3450 3585 3675 4025 4830 5019 5497 5635 5975 6762 7170 7350 8050 8365 10038 10994 11270 11711 11950 12075 16491 16730 16905 17925 23422 24150 25095 27485 28175 32982 33810 35133 35850 38479 41825 50190 54970 56350 58555 70266 76958 82455 83650 84525 115437 117110 125475 137425 164910 169050 175665 192395 230874 250950 269353 274850 292775 351330 384790 412275 538706 577185 585550 808059 824550 878325 961975 1154370 1346765 1616118 1756650 1923950 2693530 2885925 4040295 5771850 6733825 8080590 13467650 20201475 40402950