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53461134 = 234331997
BaseRepresentation
bin1100101111110…
…0000010001110
310201121002220000
43023330002032
5102141224014
65145505130
71216261236
oct313740216
9121532800
1053461134
11281a5161
1215aa21a6
13b0ca90c
147158cc6
154a60509
hex32fc08e

53461134 has 40 divisors (see below), whose sum is σ = 120274968. Its totient is φ = 17748720.

The previous prime is 53461129. The next prime is 53461157. The reversal of 53461134 is 43116435.

53461134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53461098 and 53461107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53124 + ... + 54120.

Almost surely, 253461134 is an apocalyptic number.

53461134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53461134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60137484).

53461134 is an abundant number, since it is smaller than the sum of its proper divisors (66813834).

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

53461134 is a wasteful number, since it uses less digits than its factorization.

53461134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1333 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53461134 is about 7311.7121114004. The cubic root of 53461134 is about 376.7148342957.

Adding to 53461134 its reverse (43116435), we get a palindrome (96577569).

The spelling of 53461134 in words is "fifty-three million, four hundred sixty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 331 662 993 997 1986 1994 2979 2991 5958 5982 8937 8973 17874 17946 26811 26919 53622 53838 80757 161514 330007 660014 990021 1980042 2970063 5940126 8910189 17820378 26730567 53461134