Search a number
-
+
49365285489 = 381322112
BaseRepresentation
bin101101111110011001…
…100111101001110001
311201102100111100000000
4231332121213221301
51302100003113424
634402245220213
73365214001062
oct557631475161
9151370440000
1049365285489
1119a32464703
129698401669
13486940b300
14256430c569
15143dcbb3c9
hexb7e667a71

49365285489 has 81 divisors (see below), whose sum is σ = 80559793899. Its totient is φ = 30234662640.

The previous prime is 49365285469. The next prime is 49365285517. The reversal of 49365285489 is 98458256394.

The square root of 49365285489 is 222183.

It is a perfect power (a square), and thus also a powerful number.

49365285489 is a `hidden beast` number, since 4 + 9 + 3 + 65 + 28 + 548 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7302557025 + 42062728464 = 85455^2 + 205092^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 49365285489 - 215 = 49365252721 is a prime.

It is a super-2 number, since 2×493652854892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49365285469) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 233958594 + ... + 233958804.

Almost surely, 249365285489 is an apocalyptic number.

49365285489 is the 222183-rd square number.

49365285489 is the 111092-nd centered octagonal number.

It is an amenable number.

49365285489 is a deficient number, since it is larger than the sum of its proper divisors (31194508410).

49365285489 is an frugal number, since it uses more digits than its factorization.

49365285489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 227 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 49365285489 in words is "forty-nine billion, three hundred sixty-five million, two hundred eighty-five thousand, four hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 211 243 351 507 633 729 1053 1521 1899 2187 2743 3159 4563 5697 6561 8229 9477 13689 17091 24687 28431 35659 41067 44521 51273 74061 85293 106977 123201 133563 153819 222183 320931 369603 400689 461457 578773 666549 962793 1108809 1202067 1384371 1736319 1999647 2888379 3606201 5208957 5998941 7524049 8665137 10818603 15626871 17996823 22572147 25995411 32455809 46880613 67716441 77986233 97367427 140641839 203149323 233958699 292102281 421925517 609447969 1265776551 1828343907 3797329653 5485031721 16455095163 49365285489