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449012268 = 223320392
BaseRepresentation
bin11010110000110…
…110001000101100
31011021220012001000
4122300312020230
51404421343033
6112315520300
714061353445
oct3260661054
91137805030
10449012268
11210501621
12106459090
1372042243
14438c22cc
1529645a13
hex1ac3622c

449012268 has 36 divisors (see below), whose sum is σ = 1164677080. Its totient is φ = 149597352.

The previous prime is 449012261. The next prime is 449012287. The reversal of 449012268 is 862210944.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4490122682 = 403224033629007648, which contains 22 as substring.

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 (449012261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219193 + ... + 221231.

Almost surely, 2449012268 is an apocalyptic number.

It is an amenable number.

449012268 is an abundant number, since it is smaller than the sum of its proper divisors (715664812).

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

449012268 is an equidigital number, since it uses as much as digits as its factorization.

449012268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 449012268 is about 21189.9095797976. The cubic root of 449012268 is about 765.7483488239.

Multiplying 449012268 by its product of nonzero digits (27648), we get a square (12414291185664 = 35233922).

The spelling of 449012268 in words is "four hundred forty-nine million, twelve thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2039 4078 6117 8156 12234 18351 24468 36702 55053 73404 110106 220212 4157521 8315042 12472563 16630084 24945126 37417689 49890252 74835378 112253067 149670756 224506134 449012268