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905828990 = 251121931241
BaseRepresentation
bin110101111111011…
…101101001111110
32100010110212202212
4311333131221332
53323343011430
6225515020422
731306263563
oct6577355176
92303425685
10905828990
11425353800
1221343a712
131158878b1
148843686a
15547cdb95
hex35fdda7e

905828990 has 144 divisors (see below), whose sum is σ = 1996883280. Its totient is φ = 294624000.

The previous prime is 905828953. The next prime is 905828993. The reversal of 905828990 is 99828509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905828993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22093370 + ... + 22093410.

It is an arithmetic number, because the mean of its divisors is an integer number (13867245).

Almost surely, 2905828990 is an apocalyptic number.

905828990 is an abundant number, since it is smaller than the sum of its proper divisors (1091054290).

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

905828990 is a wasteful number, since it uses less digits than its factorization.

905828990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 50.

The square root of 905828990 is about 30096.9930391725. The cubic root of 905828990 is about 967.5692815177.

The spelling of 905828990 in words is "nine hundred five million, eight hundred twenty-eight thousand, nine hundred ninety".

Divisors: 1 2 5 10 11 19 22 31 38 41 55 62 82 95 110 121 155 190 205 209 242 310 341 410 418 451 589 605 682 779 902 961 1045 1178 1210 1271 1558 1705 1922 2090 2255 2299 2542 2945 3410 3751 3895 4510 4598 4805 4961 5890 6355 6479 7502 7790 8569 9610 9922 10571 11495 12710 12958 13981 17138 18259 18755 21142 22990 24149 24805 27962 32395 36518 37510 39401 42845 48298 49610 52855 64790 69905 71269 78802 85690 91295 94259 105710 116281 120745 139810 142538 153791 182590 188518 197005 200849 232562 241490 265639 307582 356345 394010 401698 433411 471295 531278 581405 712690 748619 768955 866822 942590 1004245 1162810 1328195 1497238 1537910 2008490 2167055 2209339 2656390 2922029 3743095 4334110 4418678 4767521 5844058 7486190 8234809 9535042 11046695 14610145 16469618 22093390 23837605 29220290 41174045 47675210 82348090 90582899 181165798 452914495 905828990