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325632 = 211353
BaseRepresentation
bin1001111100000000000
3121112200110
41033200000
540410012
610551320
72524236
oct1174000
9545613
10325632
1120271a
12138540
13b52a8
1486956
156673c
hex4f800

325632 has 48 divisors (see below), whose sum is σ = 884520. Its totient is φ = 106496.

The previous prime is 325631. The next prime is 325643. The reversal of 325632 is 236523.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 325599 and 325608.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325632.

It is not an unprimeable number, because it can be changed into a prime (325631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6118 + ... + 6170.

325632 is a Friedman number, since it can be written as 53*32^2*6, using all its digits and the basic arithmetic operations.

2325632 is an apocalyptic number.

325632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

325632 is an abundant number, since it is smaller than the sum of its proper divisors (558888).

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

325632 is an equidigital number, since it uses as much as digits as its factorization.

325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 325632 is about 570.6417440041. The cubic root of 325632 is about 68.7979808313.

The spelling of 325632 in words is "three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 5088 6144 6784 10176 13568 20352 27136 40704 54272 81408 108544 162816 325632