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36352 = 2971
BaseRepresentation
bin1000111000000000
31211212101
420320000
52130402
6440144
7210661
oct107000
954771
1036352
1125348
1219054
1313714
14d368
15ab87
hex8e00

36352 has 20 divisors (see below), whose sum is σ = 73656. Its totient is φ = 17920.

The previous prime is 36343. The next prime is 36353. The reversal of 36352 is 25363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 477 + ... + 547.

236352 is an apocalyptic number.

36352 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 36352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828).

36352 is an abundant number, since it is smaller than the sum of its proper divisors (37304).

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

36352 is an frugal number, since it uses more digits than its factorization.

36352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 36352 is about 190.6620046050. The cubic root of 36352 is about 33.1265419954.

The spelling of 36352 in words is "thirty-six thousand, three hundred fifty-two".