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64812 = 22311491
BaseRepresentation
bin1111110100101100
310021220110
433310230
54033222
61220020
7356646
oct176454
9107813
1064812
1144770
1231610
1323667
1419896
151430c
hexfd2c

64812 has 24 divisors (see below), whose sum is σ = 165312. Its totient is φ = 19600.

The previous prime is 64811. The next prime is 64817. The reversal of 64812 is 21846.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64812.

It is not an unprimeable number, because it can be changed into a prime (64811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (6888).

264812 is an apocalyptic number.

It is an amenable number.

64812 is an abundant number, since it is smaller than the sum of its proper divisors (100500).

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 (82656).

64812 is a wasteful number, since it uses less digits than its factorization.

64812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 64812 is about 254.5820103621. The cubic root of 64812 is about 40.1684562332.

It can be divided in two parts, 648 and 12, that multiplied together give a 5-th power (7776 = 65).

The spelling of 64812 in words is "sixty-four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 491 982 1473 1964 2946 5401 5892 10802 16203 21604 32406 64812