Search a number
-
+
49665 = 3571143
BaseRepresentation
bin1100001000000001
32112010110
430020001
53042130
61021533
7264540
oct141001
975113
1049665
1134350
12248a9
13197b5
1414157
15eab0
hexc201

49665 has 32 divisors (see below), whose sum is σ = 101376. Its totient is φ = 20160.

The previous prime is 49663. The next prime is 49667. The reversal of 49665 is 56694.

It is an interprime number because it is at equal distance from previous prime (49663) and next prime (49667).

It is not a de Polignac number, because 49665 - 21 = 49663 is a prime.

It is a super-2 number, since 2×496652 = 4933224450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (3168).

It is a Proth number, since it is equal to 97 ⋅ 29 + 1 and 97 < 29.

249665 is an apocalyptic number.

49665 is the 129-th octagonal number.

It is an amenable number.

49665 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688).

49665 is a wasteful number, since it uses less digits than its factorization.

49665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its digits is 6480, while the sum is 30.

The square root of 49665 is about 222.8564560429. The cubic root of 49665 is about 36.7578538446.

It can be divided in two parts, 496 and 65, that added together give a triangular number (561 = T33).

The spelling of 49665 in words is "forty-nine thousand, six hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 43 55 77 105 129 165 215 231 301 385 473 645 903 1155 1419 1505 2365 3311 4515 7095 9933 16555 49665