Search a number
-
+
49087990476 = 22327283335273
BaseRepresentation
bin101101101101110111…
…110100101011001100
311200201000201021202100
4231231313310223030
51301013011143401
634314541555100
73355306014600
oct555567645314
9150630637670
1049087990476
11198aa988878
12961b575a90
134823b2cc15
142539569500
151424794b86
hexb6ddf4acc

49087990476 has 108 divisors (see below), whose sum is σ = 146081563992. Its totient is φ = 13856121216.

The previous prime is 49087990459. The next prime is 49087990487. The reversal of 49087990476 is 67409978094.

49087990476 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 79 + 90 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21225 + ... + 314048.

It is an arithmetic number, because the mean of its divisors is an integer number (1352607074).

Almost surely, 249087990476 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 49087990476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73040781996).

49087990476 is an abundant number, since it is smaller than the sum of its proper divisors (96993573516).

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

49087990476 is a wasteful number, since it uses less digits than its factorization.

49087990476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335380 (or 335368 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 49087990476 in words is "forty-nine billion, eighty-seven million, nine hundred ninety thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 83 84 98 126 147 166 196 249 252 294 332 441 498 581 588 747 882 996 1162 1494 1743 1764 2324 2988 3486 4067 5229 6972 8134 10458 12201 16268 20916 24402 36603 48804 73206 146412 335273 670546 1005819 1341092 2011638 2346911 3017457 4023276 4693822 6034914 7040733 9387644 12069828 14081466 16428377 21122199 27827659 28162932 32856754 42244398 49285131 55655318 65713508 83482977 84488796 98570262 111310636 147855393 166965954 194793613 197140524 250448931 295710786 333931908 389587226 500897862 584380839 591421572 779174452 1001795724 1168761678 1363555291 1753142517 2337523356 2727110582 3506285034 4090665873 5454221164 7012570068 8181331746 12271997619 16362663492 24543995238 49087990476