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64272 = 24313103
BaseRepresentation
bin1111101100010000
310021011110
433230100
54024042
61213320
7355245
oct175420
9107143
1064272
114431a
1231240
1323340
14195cc
151409c
hexfb10

64272 has 40 divisors (see below), whose sum is σ = 180544. Its totient is φ = 19584.

The previous prime is 64271. The next prime is 64279. The reversal of 64272 is 27246.

It is a happy number.

64272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64271) 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, 573 + ... + 675.

264272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272).

64272 is an abundant number, since it is smaller than the sum of its proper divisors (116272).

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

64272 is a wasteful number, since it uses less digits than its factorization.

64272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 64272 is about 253.5192300399. The cubic root of 64272 is about 40.0565865779.

It can be divided in two parts, 6 and 4272, that added together give a triangular number (4278 = T92).

The spelling of 64272 in words is "sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 824 1236 1339 1648 2472 2678 4017 4944 5356 8034 10712 16068 21424 32136 64272