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64212 = 2235351
BaseRepresentation
bin1111101011010100
310021002020
433223110
54023322
61213140
7355131
oct175324
9107066
1064212
1144275
12311b0
13232c5
1419588
151405c
hexfad4

64212 has 12 divisors (see below), whose sum is σ = 149856. Its totient is φ = 21400.

The previous prime is 64189. The next prime is 64217. The reversal of 64212 is 21246.

Adding to 64212 its reverse (21246), we get a palindrome (85458).

It can be divided in two parts, 64 and 212, that added together give a triangular number (276 = T23).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64191 and 64200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64217) 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, 2664 + ... + 2687.

It is an arithmetic number, because the mean of its divisors is an integer number (12488).

264212 is an apocalyptic number.

It is an amenable number.

64212 is an abundant number, since it is smaller than the sum of its proper divisors (85644).

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 (74928).

64212 is a wasteful number, since it uses less digits than its factorization.

64212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5356 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 64212 is about 253.4008681911. The cubic root of 64212 is about 40.0441179889.

The spelling of 64212 in words is "sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 5351 10702 16053 21404 32106 64212