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52045434 = 2327597001
BaseRepresentation
bin1100011010001…
…0011001111010
310121221011220200
43012202121322
5101310423214
65055303030
71201243650
oct306423172
9117834820
1052045434
1127418561
121551aa76
13aa2341c
146caadd0
154880d09
hex31a267a

52045434 has 48 divisors (see below), whose sum is σ = 131077440. Its totient is φ = 14616000.

The previous prime is 52045393. The next prime is 52045439. The reversal of 52045434 is 43454025.

52045434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52045398 and 52045407.

It is not an unprimeable number, because it can be changed into a prime (52045439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3934 + ... + 10934.

It is an arithmetic number, because the mean of its divisors is an integer number (2730780).

Almost surely, 252045434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52045434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65538720).

52045434 is an abundant number, since it is smaller than the sum of its proper divisors (79032006).

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

52045434 is a wasteful number, since it uses less digits than its factorization.

52045434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7075 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 52045434 is about 7214.2521441935. The cubic root of 52045434 is about 373.3597910317.

Adding to 52045434 its reverse (43454025), we get a palindrome (95499459).

It can be divided in two parts, 520 and 45434, that added together give a palindrome (45954).

The spelling of 52045434 in words is "fifty-two million, forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 2478 3717 7001 7434 14002 21003 42006 49007 63009 98014 126018 147021 294042 413059 441063 826118 882126 1239177 2478354 2891413 3717531 5782826 7435062 8674239 17348478 26022717 52045434