Search a number
-
+
48090609084 = 22371573839521
BaseRepresentation
bin101100110010011011…
…000111010110111100
311121010111222001200210
4230302123013112330
51241442143442314
634031552352420
73321505301250
oct546233072674
9147114861623
1048090609084
1119438993431
1293a1545710
1346c52cb90b
142482d00260
1513b6e2e559
hexb326c75bc

48090609084 has 96 divisors (see below), whose sum is σ = 129409007616. Its totient is φ = 13615580160.

The previous prime is 48090609023. The next prime is 48090609109.

48090609084 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×480906090843 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5046244 + ... + 5055764.

It is an arithmetic number, because the mean of its divisors is an integer number (1348010496).

Almost surely, 248090609084 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 48090609084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64704503808).

48090609084 is an abundant number, since it is smaller than the sum of its proper divisors (81318398532).

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

48090609084 is a wasteful number, since it uses less digits than its factorization.

48090609084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 48090609084 in words is "forty-eight billion, ninety million, six hundred nine thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 383 471 628 766 942 1099 1149 1532 1884 2198 2298 2681 3297 4396 4596 5362 6594 8043 9521 10724 13188 16086 19042 28563 32172 38084 57126 60131 66647 114252 120262 133294 180393 199941 240524 266588 360786 399882 420917 721572 799764 841834 1262751 1494797 1683668 2525502 2989594 3646543 4484391 5051004 5979188 7293086 8968782 10463579 10939629 14586172 17937564 20927158 21879258 25525801 31390737 41854316 43758516 51051602 62781474 76577403 102103204 125562948 153154806 306309612 572507251 1145014502 1717521753 2290029004 3435043506 4007550757 6870087012 8015101514 12022652271 16030203028 24045304542 48090609084