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2085376950 = 2325229159799
BaseRepresentation
bin111110001001100…
…0101001110110110
312101100000010101100
41330103011032312
513232324030300
6542532510530
7102451261116
oct17423051666
95340003340
102085376950
11980160628
124a247b446
1327306ac77
1415ad61046
15c3129700
hex7c4c53b6

2085376950 has 72 divisors (see below), whose sum is σ = 5795946000. Its totient is φ = 536921280.

The previous prime is 2085376897. The next prime is 2085376987. The reversal of 2085376950 is 596735802.

It is a happy number.

2085376950 is a `hidden beast` number, since 2 + 0 + 8 + 537 + 69 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2085376896 and 2085376905.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 66850 + ... + 92949.

It is an arithmetic number, because the mean of its divisors is an integer number (80499250).

Almost surely, 22085376950 is an apocalyptic number.

2085376950 is an abundant number, since it is smaller than the sum of its proper divisors (3710569050).

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

2085376950 is a wasteful number, since it uses less digits than its factorization.

2085376950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159846 (or 159838 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2085376950 is about 45665.9276704197. The cubic root of 2085376950 is about 1277.5998622410.

The spelling of 2085376950 in words is "two billion, eighty-five million, three hundred seventy-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 13050 159799 319598 479397 798995 958794 1438191 1597990 2396985 2876382 3994975 4634171 4793970 7190955 7989950 9268342 11984925 13902513 14381910 23170855 23969850 27805026 35954775 41707539 46341710 69512565 71909550 83415078 115854275 139025130 208537695 231708550 347562825 417075390 695125650 1042688475 2085376950