Search a number
-
+
48686841 = 3272113977
BaseRepresentation
bin1011100110111…
…0011011111001
310101121112210100
42321232123321
544430434331
64455310013
71130555100
oct271563371
9111545710
1048686841
1125534165
121437b309
13a1187a8
146675037
15441aae6
hex2e6e6f9

48686841 has 36 divisors (see below), whose sum is σ = 82615572. Its totient is φ = 27546624.

The previous prime is 48686821. The next prime is 48686881. The reversal of 48686841 is 14868684.

It can be written as a sum of positive squares in 2 ways, for example, as 21344400 + 27342441 = 4620^2 + 5229^2 .

It is not a de Polignac number, because 48686841 - 27 = 48686713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48686821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49345 + ... + 50321.

It is an arithmetic number, because the mean of its divisors is an integer number (2294877).

Almost surely, 248686841 is an apocalyptic number.

It is an amenable number.

48686841 is a deficient number, since it is larger than the sum of its proper divisors (33928731).

48686841 is a wasteful number, since it uses less digits than its factorization.

48686841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1100 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48686841 is about 6977.5956460661. The cubic root of 48686841 is about 365.1493502775.

The spelling of 48686841 in words is "forty-eight million, six hundred eighty-six thousand, eight hundred forty-one".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 791 977 1017 2373 2931 5537 6839 7119 8793 16611 20517 47873 49833 61551 110401 143619 331203 430857 772807 993609 2318421 5409649 6955263 16228947 48686841