Search a number
-
+
441102844 = 22713231297
BaseRepresentation
bin11010010010101…
…011000111111100
31010202000100100101
4122102223013330
51400410242334
6111434210444
713634212060
oct3222530774
91122010311
10441102844
11206a9a106
12103883a24
1370503100
1442823aa0
1528ad2214
hex1a4ab1fc

441102844 has 108 divisors (see below), whose sum is σ = 997273872. Its totient is φ = 167132160.

The previous prime is 441102793. The next prime is 441102853. The reversal of 441102844 is 448201144.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4547404 + ... + 4547500.

Almost surely, 2441102844 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 441102844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498636936).

441102844 is an abundant number, since it is smaller than the sum of its proper divisors (556171028).

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

441102844 is a wasteful number, since it uses less digits than its factorization.

441102844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 441102844 is about 21002.4485239222. The cubic root of 441102844 is about 761.2254261047.

Adding to 441102844 its reverse (448201144), we get a palindrome (889303988).

It can be divided in two parts, 441 and 102844, that added together give a triangular number (103285 = T454).

The spelling of 441102844 in words is "four hundred forty-one million, one hundred two thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 97 124 169 182 194 217 338 364 388 403 434 676 679 806 868 961 1183 1261 1358 1612 1922 2366 2522 2716 2821 3007 3844 4732 5044 5239 5642 6014 6727 8827 10478 11284 12028 12493 13454 16393 17654 20956 21049 24986 26908 32786 35308 36673 39091 42098 49972 65572 73346 78182 84196 87451 93217 114751 146692 156364 162409 174902 186434 229502 273637 324818 349804 372868 459004 508183 547274 649636 652519 1016366 1094548 1136863 1211821 1305038 2032732 2273726 2423642 2610076 3557281 4547452 4847284 7114562 8482747 14229124 15753673 16965494 31507346 33930988 63014692 110275711 220551422 441102844