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449094312 = 233259711489
BaseRepresentation
bin11010110001001…
…010001010101000
31011022001100120200
4122301022022220
51404432004222
6112321352200
714062144602
oct3261121250
91138040520
10449094312
11210558227
12106498660
13720706a4
1443904172
152965eeac
hex1ac4a2a8

449094312 has 96 divisors (see below), whose sum is σ = 1255176000. Its totient is φ = 144990720.

The previous prime is 449094307. The next prime is 449094313. The reversal of 449094312 is 213490944.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (449094313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300864 + ... + 302352.

It is an arithmetic number, because the mean of its divisors is an integer number (13074750).

Almost surely, 2449094312 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 449094312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627588000).

449094312 is an abundant number, since it is smaller than the sum of its proper divisors (806081688).

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

449094312 is a wasteful number, since it uses less digits than its factorization.

449094312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 449094312 is about 21191.8454127997. The cubic root of 449094312 is about 765.7949854349.

The spelling of 449094312 in words is "four hundred forty-nine million, ninety-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 71 72 118 142 177 213 236 284 354 426 472 531 568 639 708 852 1062 1278 1416 1489 1704 2124 2556 2978 4189 4248 4467 5112 5956 8378 8934 11912 12567 13401 16756 17868 25134 26802 33512 35736 37701 50268 53604 75402 87851 100536 105719 107208 150804 175702 211438 263553 301608 317157 351404 422876 527106 634314 702808 790659 845752 951471 1054212 1268628 1581318 1902942 2108424 2537256 3162636 3805884 6237421 6325272 7611768 12474842 18712263 24949684 37424526 49899368 56136789 74849052 112273578 149698104 224547156 449094312