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33992 = 237607
BaseRepresentation
bin1000010011001000
31201121222
420103020
52041432
6421212
7201050
oct102310
951558
1033992
11235a2
1217808
131261a
14c560
15a112
hex84c8

33992 has 16 divisors (see below), whose sum is σ = 72960. Its totient is φ = 14544.

The previous prime is 33967. The next prime is 33997. The reversal of 33992 is 29933.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 35 + 35 + 9 + 93 + 215 .

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 33992.

It is not an unprimeable number, because it can be changed into a prime (33997) by changing a digit.

33992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (4560).

233992 is an apocalyptic number.

It is an amenable number.

33992 is an abundant number, since it is smaller than the sum of its proper divisors (38968).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36480).

33992 is a wasteful number, since it uses less digits than its factorization.

33992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its digits is 1458, while the sum is 26.

The square root of 33992 is about 184.3691948239. The cubic root of 33992 is about 32.3935769415.

The spelling of 33992 in words is "thirty-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 56 607 1214 2428 4249 4856 8498 16996 33992