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449862912 = 2832195253
BaseRepresentation
bin11010110100000…
…101110100000000
31011100111101220100
4122310011310000
51410131103122
6112350042400
714101525452
oct3264056400
91140441810
10449862912
11210a32734
121067a9400
137227c495
1443a642d2
1529762aac
hex1ad05d00

449862912 has 54 divisors (see below), whose sum is σ = 1297072322. Its totient is φ = 149953536.

The previous prime is 449862901. The next prime is 449862913. The reversal of 449862912 is 219268944.

449862912 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 629 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 355850496 + 94012416 = 18864^2 + 9696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449862913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95323 + ... + 99930.

Almost surely, 2449862912 is an apocalyptic number.

It is an amenable number.

449862912 is an abundant number, since it is smaller than the sum of its proper divisors (847209410).

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

449862912 is a wasteful number, since it uses less digits than its factorization.

449862912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195275 (or 195258 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 449862912 is about 21209.9719943238. The cubic root of 449862912 is about 766.2316083217.

It can be divided in two parts, 4498629 and 12, that added together give a square (4498641 = 21212).

The spelling of 449862912 in words is "four hundred forty-nine million, eight hundred sixty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 195253 390506 585759 781012 1171518 1562024 1757277 2343036 3124048 3514554 4686072 6248096 7029108 9372144 12496192 14058216 18744288 24992384 28116432 37488576 49984768 56232864 74977152 112465728 149954304 224931456 449862912