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449472912 = 24373493833
BaseRepresentation
bin11010110010100…
…110100110010000
31011022202120220220
4122302212212100
51410031113122
6112333433040
714065312440
oct3262464620
91138676826
10449472912
11210796719
1210663b780
1372173b05
14439a2120
15296d725c
hex1aca6990

449472912 has 80 divisors (see below), whose sum is σ = 1331164800. Its totient is φ = 128019456.

The previous prime is 449472901. The next prime is 449472931. The reversal of 449472912 is 219274944.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 115348 + ... + 119180.

It is an arithmetic number, because the mean of its divisors is an integer number (16639560).

Almost surely, 2449472912 is an apocalyptic number.

449472912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449472912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665582400).

449472912 is an abundant number, since it is smaller than the sum of its proper divisors (881691888).

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

449472912 is a wasteful number, since it uses less digits than its factorization.

449472912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4194 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 449472912 is about 21200.7762122051. The cubic root of 449472912 is about 766.0101210524.

The spelling of 449472912 in words is "four hundred forty-nine million, four hundred seventy-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 349 698 1047 1396 2094 2443 2792 3833 4188 4886 5584 7329 7666 8376 9772 11499 14658 15332 16752 19544 22998 26831 29316 30664 39088 45996 53662 58632 61328 80493 91992 107324 117264 160986 183984 214648 321972 429296 643944 1287888 1337717 2675434 4013151 5350868 8026302 9364019 10701736 16052604 18728038 21403472 28092057 32105208 37456076 56184114 64210416 74912152 112368228 149824304 224736456 449472912