Search a number
-
+
448326864 = 2432103167181
BaseRepresentation
bin11010101110001…
…110110011010000
31011020121100211200
4122232032303100
51404232424424
6112253111200
714052500256
oct3256166320
91136540750
10448326864
11210083677
12106188500
1371b6228b
14437845d6
152955c8c9
hex1ab8ecd0

448326864 has 120 divisors (see below), whose sum is σ = 1281501312. Its totient is φ = 146292480.

The previous prime is 448326821. The next prime is 448326889. The reversal of 448326864 is 468623844.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2476854 + ... + 2477034.

Almost surely, 2448326864 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 448326864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640750656).

448326864 is an abundant number, since it is smaller than the sum of its proper divisors (833174448).

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

448326864 is a wasteful number, since it uses less digits than its factorization.

448326864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 448326864 is about 21173.7305168456. The cubic root of 448326864 is about 765.3585196366.

The spelling of 448326864 in words is "four hundred forty-eight million, three hundred twenty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 167 181 206 309 334 362 412 501 543 618 668 724 824 927 1002 1086 1236 1336 1448 1503 1629 1648 1854 2004 2172 2472 2672 2896 3006 3258 3708 4008 4344 4944 6012 6516 7416 8016 8688 12024 13032 14832 17201 18643 24048 26064 30227 34402 37286 51603 55929 60454 68804 74572 90681 103206 111858 120908 137608 149144 154809 167787 181362 206412 223716 241816 272043 275216 298288 309618 335574 362724 412824 447432 483632 544086 619236 671148 725448 825648 894864 1088172 1238472 1342296 1450896 2176344 2476944 2684592 3113381 4352688 6226762 9340143 12453524 18680286 24907048 28020429 37360572 49814096 56040858 74721144 112081716 149442288 224163432 448326864