Search a number
-
+
49352022792 = 233629092
BaseRepresentation
bin101101111101100111…
…000001101100001000
311201101102112112000000
4231331213001230020
51302033104212132
634401053043000
73364663162242
oct557547015410
9151342475000
1049352022792
1119a25a261a6
129693a86460
134866746667
142562659092
15143ca4b87c
hexb7d9c1b08

49352022792 has 84 divisors (see below), whose sum is σ = 138786806445. Its totient is φ = 16445019168.

The previous prime is 49352022787. The next prime is 49352022799. The reversal of 49352022792 is 29722025394.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49352022792 is a `hidden beast` number, since 493 + 52 + 0 + 2 + 27 + 92 = 666.

49352022792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41422832676 + 7929190116 = 203526^2 + 89046^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=157086.

It is not an unprimeable number, because it can be changed into a prime (49352022799) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16963834 + ... + 16966742.

Almost surely, 249352022792 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 49352022792

49352022792 is an abundant number, since it is smaller than the sum of its proper divisors (89434783653).

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

49352022792 is an frugal number, since it uses more digits than its factorization.

49352022792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 49352022792 in words is "forty-nine billion, three hundred fifty-two million, twenty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2909 2916 5818 5832 8727 11636 17454 23272 26181 34908 52362 69816 78543 104724 157086 209448 235629 314172 471258 628344 706887 942516 1413774 1885032 2120661 2827548 4241322 5655096 8462281 8482644 16924562 16965288 25386843 33849124 50773686 67698248 76160529 101547372 152321058 203094744 228481587 304642116 456963174 609284232 685444761 913926348 1370889522 1827852696 2056334283 2741779044 4112668566 5483558088 6169002849 8225337132 12338005698 16450674264 24676011396 49352022792