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33772 = 228443
BaseRepresentation
bin1000001111101100
31201022211
420033230
52040042
6420204
7200314
oct101754
951284
1033772
1123412
1217664
13124ab
14c444
15a017
hex83ec

33772 has 6 divisors (see below), whose sum is σ = 59108. Its totient is φ = 16884.

The previous prime is 33769. The next prime is 33773. The reversal of 33772 is 27733.

33772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×337722 = 2281095968, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 33 + 75 + 75 + 27 .

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (33773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4218 + ... + 4225.

233772 is an apocalyptic number.

It is an amenable number.

33772 is a deficient number, since it is larger than the sum of its proper divisors (25336).

33772 is a wasteful number, since it uses less digits than its factorization.

33772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8445 counting only the distinct ones).

The product of its digits is 882, while the sum is 22.

The square root of 33772 is about 183.7715973702. The cubic root of 33772 is about 32.3235406865.

The spelling of 33772 in words is "thirty-three thousand, seven hundred seventy-two".

Divisors: 1 2 4 8443 16886 33772