Search a number
-
+
441023232 = 28313163271
BaseRepresentation
bin11010010010010…
…111101100000000
31010201212022010210
4122102113230000
51400400220412
6111432354120
713633431006
oct3222275400
91121768123
10441023232
11206a45311
12103845940
13704a5ac0
1442802a76
1528ab883c
hex1a497b00

441023232 has 144 divisors (see below), whose sum is σ = 1276502528. Its totient is φ = 134369280.

The previous prime is 441023227. The next prime is 441023249. The reversal of 441023232 is 232320144.

It is a junction number, because it is equal to n+sod(n) for n = 441023199 and 441023208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627257 + ... + 1627527.

Almost surely, 2441023232 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 441023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638251264).

441023232 is an abundant number, since it is smaller than the sum of its proper divisors (835479296).

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

441023232 is a wasteful number, since it uses less digits than its factorization.

441023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 441023232 is about 21000.5531355724. The cubic root of 441023232 is about 761.1796270159.

Adding to 441023232 its reverse (232320144), we get a palindrome (673343376).

The spelling of 441023232 in words is "four hundred forty-one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 163 192 208 256 271 312 326 384 416 489 542 624 652 768 813 832 978 1084 1248 1304 1626 1664 1956 2119 2168 2496 2608 3252 3328 3523 3912 4238 4336 4992 5216 6357 6504 7046 7824 8476 8672 9984 10432 10569 12714 13008 14092 15648 16952 17344 20864 21138 25428 26016 28184 31296 33904 34688 41728 42276 44173 50856 52032 56368 62592 67808 69376 84552 88346 101712 104064 112736 125184 132519 135616 169104 176692 203424 208128 225472 265038 271232 338208 353384 406848 450944 530076 542464 574249 676416 706768 813696 901888 1060152 1148498 1352832 1413536 1627392 1722747 2120304 2296996 2705664 2827072 3445494 4240608 4593992 5654144 6890988 8481216 9187984 11308288 13781976 16962432 18375968 27563952 33924864 36751936 55127904 73503872 110255808 147007744 220511616 441023232