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32006052 = 22321368389
BaseRepresentation
bin111101000010…
…1111110100100
32020020002001100
41322011332210
531143143202
63102000100
7536022051
oct172057644
966202040
1032006052
1117080691
12a876030
1368280c0
144372028
152c2341c
hex1e85fa4

32006052 has 36 divisors (see below), whose sum is σ = 87128860. Its totient is φ = 9847872.

The previous prime is 32006033. The next prime is 32006057. The reversal of 32006052 is 25060023.

It can be written as a sum of positive squares in 2 ways, for example, as 15163236 + 16842816 = 3894^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32006057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33727 + ... + 34662.

Almost surely, 232006052 is an apocalyptic number.

It is an amenable number.

32006052 is an abundant number, since it is smaller than the sum of its proper divisors (55122808).

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

32006052 is a wasteful number, since it uses less digits than its factorization.

32006052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68412 (or 68407 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 32006052 is about 5657.3891504828. The cubic root of 32006052 is about 317.5002236136.

Adding to 32006052 its reverse (25060023), we get a palindrome (57066075).

The spelling of 32006052 in words is "thirty-two million, six thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 68389 136778 205167 273556 410334 615501 820668 889057 1231002 1778114 2462004 2667171 3556228 5334342 8001513 10668684 16003026 32006052