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4532632 = 2313411063
BaseRepresentation
bin10001010010100110011000
322112021121021
4101102212120
52130021012
6241052224
753345446
oct21224630
98467537
104532632
112616485
121627074
13c29140
1485db96
155e8007
hex452998

4532632 has 32 divisors (see below), whose sum is σ = 9384480. Its totient is φ = 2039040.

The previous prime is 4532629. The next prime is 4532639. The reversal of 4532632 is 2362354.

It is a happy number.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4532597 and 4532606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3733 + ... + 4795.

It is an arithmetic number, because the mean of its divisors is an integer number (293265).

Almost surely, 24532632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692240).

4532632 is an abundant number, since it is smaller than the sum of its proper divisors (4851848).

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

4532632 is a wasteful number, since it uses less digits than its factorization.

4532632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its digits is 4320, while the sum is 25.

The square root of 4532632 is about 2128.9978863306. The cubic root of 4532632 is about 165.4944701712.

Adding to 4532632 its reverse (2362354), we get a palindrome (6894986).

The spelling of 4532632 in words is "four million, five hundred thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1063 1066 2126 2132 4252 4264 8504 13819 27638 43583 55276 87166 110552 174332 348664 566579 1133158 2266316 4532632