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449474016 = 25317299497
BaseRepresentation
bin11010110010100…
…110110111100000
31011022202122102210
4122302212313200
51410031132031
6112333442120
714065315605
oct3262466740
91138678383
10449474016
11210797532
12106640340
1372174474
14439a26ac
15296d7746
hex1aca6de0

449474016 has 96 divisors (see below), whose sum is σ = 1292487840. Its totient is φ = 136134656.

The previous prime is 449473993. The next prime is 449474017. The reversal of 449474016 is 610474944.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449474017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42580 + ... + 52076.

It is an arithmetic number, because the mean of its divisors is an integer number (13463415).

Almost surely, 2449474016 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 449474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646243920).

449474016 is an abundant number, since it is smaller than the sum of its proper divisors (843013824).

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

449474016 is a wasteful number, since it uses less digits than its factorization.

449474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 449474016 is about 21200.8022489716. The cubic root of 449474016 is about 766.0107482125.

The spelling of 449474016 in words is "four hundred forty-nine million, four hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 68 87 96 102 116 136 174 204 232 272 348 408 464 493 544 696 816 928 986 1392 1479 1632 1972 2784 2958 3944 5916 7888 9497 11832 15776 18994 23664 28491 37988 47328 56982 75976 113964 151952 161449 227928 275413 303904 322898 455856 484347 550826 645796 826239 911712 968694 1101652 1291592 1652478 1937388 2203304 2583184 3304956 3874776 4406608 4682021 5166368 6609912 7749552 8813216 9364042 13219824 14046063 15499104 18728084 26439648 28092126 37456168 56184252 74912336 112368504 149824672 224737008 449474016