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441119424 = 2635367647
BaseRepresentation
bin11010010010101…
…111001011000000
31010202001012002110
4122102233023000
51400411310144
6111434415320
713634311314
oct3222571300
91122035073
10441119424
11207000609
12103891540
137050a815
1442829b44
1528ad70b9
hex1a4af2c0

441119424 has 112 divisors (see below), whose sum is σ = 1208763648. Its totient is φ = 141892608.

The previous prime is 441119423. The next prime is 441119527. The reversal of 441119424 is 424911144.

It is a junction number, because it is equal to n+sod(n) for n = 441119391 and 441119400.

It is not an unprimeable number, because it can be changed into a prime (441119423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681469 + ... + 682115.

Almost surely, 2441119424 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 441119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604381824).

441119424 is an abundant number, since it is smaller than the sum of its proper divisors (767644224).

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

441119424 is a wasteful number, since it uses less digits than its factorization.

441119424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 441119424 is about 21002.8432360954. The cubic root of 441119424 is about 761.2349635324.

It can be divided in two parts, 44111 and 9424, that added together give a palindrome (53535).

The spelling of 441119424 in words is "four hundred forty-one million, one hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 67 96 106 134 159 192 201 212 268 318 402 424 536 636 647 804 848 1072 1272 1294 1608 1696 1941 2144 2544 2588 3216 3392 3551 3882 4288 5088 5176 6432 7102 7764 10176 10352 10653 12864 14204 15528 20704 21306 28408 31056 34291 41408 42612 43349 56816 62112 68582 85224 86698 102873 113632 124224 130047 137164 170448 173396 205746 227264 260094 274328 340896 346792 411492 520188 548656 681792 693584 822984 1040376 1097312 1387168 1645968 2080752 2194624 2297497 2774336 3291936 4161504 4594994 6583872 6892491 8323008 9189988 13784982 18379976 27569964 36759952 55139928 73519904 110279856 147039808 220559712 441119424