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544272 = 243172329
BaseRepresentation
bin10000100111000010000
31000122121020
42010320100
5114404042
615355440
74424541
oct2047020
91018536
10544272
11341a13
12222b80
13160971
141024c8
15ab3ec
hex84e10

544272 has 80 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 157696.

The previous prime is 544259. The next prime is 544273. The reversal of 544272 is 272445.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 56 + 44 + 218 + 46 + 7 + 218 .

Its product of digits (2240) is a multiple of the sum of its prime factors (80).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 544272.

It is not an unprimeable number, because it can be changed into a prime (544273) by changing a digit.

544272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18754 + ... + 18782.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2544272 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 544272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

544272 is an abundant number, since it is smaller than the sum of its proper divisors (1062768).

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

544272 is a wasteful number, since it uses less digits than its factorization.

544272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 544272 is about 737.7479244295. The cubic root of 544272 is about 81.6467052884.

The spelling of 544272 in words is "five hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 29 34 46 48 51 58 68 69 87 92 102 116 136 138 174 184 204 232 272 276 348 368 391 408 464 493 552 667 696 782 816 986 1104 1173 1334 1392 1479 1564 1972 2001 2346 2668 2958 3128 3944 4002 4692 5336 5916 6256 7888 8004 9384 10672 11339 11832 16008 18768 22678 23664 32016 34017 45356 68034 90712 136068 181424 272136 544272