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448481216 = 26173113297
BaseRepresentation
bin11010101110110…
…100011111000000
31011020220012120102
4122232310133000
51404302344331
6112300301532
714054012261
oct3256643700
91136805512
10448481216
11210179637
121062418a8
1371bb7601
14437c4968
152958d4cb
hex1abb47c0

448481216 has 56 divisors (see below), whose sum is σ = 972775296. Its totient is φ = 204226560.

The previous prime is 448481213. The next prime is 448481237. The reversal of 448481216 is 612184844.

It is a super-2 number, since 2×4484812162 = 402270802209677312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 448481216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448481213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27080 + ... + 40376.

Almost surely, 2448481216 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 448481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486387648).

448481216 is an abundant number, since it is smaller than the sum of its proper divisors (524294080).

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

448481216 is a wasteful number, since it uses less digits than its factorization.

448481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357 (or 13347 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 448481216 is about 21177.3750970228. The cubic root of 448481216 is about 765.4463432560.

It can be divided in two parts, 44848 and 1216, that added together give a palindrome (46064).

The spelling of 448481216 in words is "four hundred forty-eight million, four hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 4216 8432 13297 16864 26594 33728 53188 106376 212752 226049 412207 425504 452098 824414 851008 904196 1648828 1808392 3297656 3616784 6595312 7007519 7233568 13190624 14015038 14467136 26381248 28030076 56060152 112120304 224240608 448481216