Search a number
-
+
46131471 = 331708573
BaseRepresentation
bin1010111111111…
…0100100001111
310012210201111000
42233332210033
543302201341
64324431343
71100053041
oct257764417
9105721430
1046131471
1124049291
1213548553
139732639
1461aba91
1540b38b6
hex2bfe90f

46131471 has 8 divisors (see below), whose sum is σ = 68342960. Its totient is φ = 30754296.

The previous prime is 46131461. The next prime is 46131473. The reversal of 46131471 is 17413164.

It is a happy number.

46131471 is a `hidden beast` number, since 4 + 613 + 1 + 47 + 1 = 666.

It is not a de Polignac number, because 46131471 - 214 = 46115087 is a prime.

It is a super-3 number, since 3×461314713 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1708573 = 46131471 / (4 + 6 + 1 + 3 + 1 + 4 + 7 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46131473) 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 7 ways as a sum of consecutive naturals, for example, 854260 + ... + 854313.

It is an arithmetic number, because the mean of its divisors is an integer number (8542870).

Almost surely, 246131471 is an apocalyptic number.

46131471 is a deficient number, since it is larger than the sum of its proper divisors (22211489).

46131471 is a wasteful number, since it uses less digits than its factorization.

46131471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708582 (or 1708576 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 46131471 is about 6792.0152384988. The cubic root of 46131471 is about 358.6458152305.

It can be divided in two parts, 4613 and 1471, that added together give a square (6084 = 782).

The spelling of 46131471 in words is "forty-six million, one hundred thirty-one thousand, four hundred seventy-one".

Divisors: 1 3 9 27 1708573 5125719 15377157 46131471