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2050976046 = 237341109223
BaseRepresentation
bin111101000111111…
…0110100100101110
312021221021101012210
41322033312210232
513200022213141
6535303311250
7101553003000
oct17217664456
95257241183
102050976046
119627a4729
12492a4b526
13268bb4ac2
14156568370
15c00d1916
hex7a3f692e

2050976046 has 128 divisors (see below), whose sum is σ = 4967424000. Its totient is φ = 563915520.

The previous prime is 2050976041. The next prime is 2050976063. The reversal of 2050976046 is 6406790502.

It is a junction number, because it is equal to n+sod(n) for n = 2050975995 and 2050976013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050976041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9197091 + ... + 9197313.

It is an arithmetic number, because the mean of its divisors is an integer number (38808000).

Almost surely, 22050976046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050976046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483712000).

2050976046 is an abundant number, since it is smaller than the sum of its proper divisors (2916447954).

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

2050976046 is a wasteful number, since it uses less digits than its factorization.

2050976046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2050976046 is about 45287.7030329426. The cubic root of 2050976046 is about 1270.5356712734.

The spelling of 2050976046 in words is "two billion, fifty million, nine hundred seventy-six thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 109 123 147 218 223 246 287 294 327 343 446 574 654 669 686 763 861 1029 1338 1526 1561 1722 2009 2058 2289 3122 4018 4469 4578 4683 5341 6027 8938 9143 9366 10682 10927 12054 13407 14063 16023 18286 21854 24307 26814 27429 28126 31283 32046 32781 37387 42189 48614 54858 62566 64001 65562 72921 74774 76489 84378 93849 112161 128002 145842 152978 170149 187698 192003 218981 224322 229467 340298 384006 437962 448007 458934 510447 656943 896014 996587 1020894 1191043 1313886 1344021 1532867 1993174 2382086 2688042 2989761 3065734 3136049 3573129 4598601 5979522 6272098 6976109 7146258 8337301 9197202 9408147 13952218 16674602 18816294 20928327 25011903 41856654 48832763 50023806 97665526 146498289 292996578 341829341 683658682 1025488023 2050976046