Search a number
-
+
48105291 = 3131737253
BaseRepresentation
bin1011011110000…
…0011101001011
310100112000001110
42313200131023
544303332131
64435021403
71122613443
oct267403513
9110460043
1048105291
1125177243
121413a863
139c73b90
146563123
154353646
hex2de074b

48105291 has 48 divisors (see below), whose sum is σ = 76585824. Its totient is φ = 26597376.

The previous prime is 48105289. The next prime is 48105311. The reversal of 48105291 is 19250184.

It is a happy number.

It is not a de Polignac number, because 48105291 - 21 = 48105289 is a prime.

It is a super-3 number, since 3×481052913 (a number of 24 digits) contains 333 as substring.

48105291 is a modest number, since divided by 5291 gives 4810 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48105241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907621 + ... + 907673.

It is an arithmetic number, because the mean of its divisors is an integer number (1595538).

Almost surely, 248105291 is an apocalyptic number.

48105291 is a deficient number, since it is larger than the sum of its proper divisors (28480533).

48105291 is a wasteful number, since it uses less digits than its factorization.

48105291 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 48105291 is about 6935.7977911701. The cubic root of 48105291 is about 363.6896556762.

It can be divided in two parts, 4810 and 5291, that added together give a palindrome (10101).

The spelling of 48105291 in words is "forty-eight million, one hundred five thousand, two hundred ninety-one".

Divisors: 1 3 13 17 37 39 51 53 111 159 221 481 629 663 689 901 1369 1443 1887 1961 2067 2703 4107 5883 8177 11713 17797 23273 24531 25493 33337 35139 53391 69819 72557 76479 100011 217671 302549 433381 907647 943241 1233469 1300143 2829723 3700407 16035097 48105291