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441075272 = 2311192511051
BaseRepresentation
bin11010010010100…
…100011001001000
31010201221221112012
4122102210121020
51400403402042
6111433435052
713634035511
oct3222443110
91121857465
10441075272
11206a80420
1210386ba88
13704c36b1
1442817a08
1528ac8e82
hex1a4a4648

441075272 has 64 divisors (see below), whose sum is σ = 954374400. Its totient is φ = 189000000.

The previous prime is 441075247. The next prime is 441075287. The reversal of 441075272 is 272570144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419147 + ... + 420197.

It is an arithmetic number, because the mean of its divisors is an integer number (14912100).

Almost surely, 2441075272 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 441075272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477187200).

441075272 is an abundant number, since it is smaller than the sum of its proper divisors (513299128).

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

441075272 is a wasteful number, since it uses less digits than its factorization.

441075272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 441075272 is about 21001.7921140078. The cubic root of 441075272 is about 761.2095651439.

The spelling of 441075272 in words is "four hundred forty-one million, seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 251 418 502 836 1004 1051 1672 2008 2102 2761 4204 4769 5522 8408 9538 11044 11561 19076 19969 22088 23122 38152 39938 46244 52459 79876 92488 104918 159752 209836 219659 263801 419672 439318 527602 878636 1055204 1757272 2110408 2901811 5012219 5803622 10024438 11607244 20048876 23214488 40097752 55134409 110268818 220537636 441075272