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1448273216 = 26132293457
BaseRepresentation
bin101011001010010…
…1110010101000000
310201221011220100202
41112110232111000
510431224220331
6355413304332
750614055615
oct12624562500
93657156322
101448273216
11683570115
123450350a8
131a1080c00
14da4ba50c
158722cecb
hex5652e540

1448273216 has 84 divisors (see below), whose sum is σ = 3129447132. Its totient is φ = 664694784.

The previous prime is 1448273213. The next prime is 1448273227. The reversal of 1448273216 is 6123728441.

It can be written as a sum of positive squares in 6 ways, for example, as 11560000 + 1436713216 = 3400^2 + 37904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1448273216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448273213) 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, 3168860 + ... + 3169316.

It is an arithmetic number, because the mean of its divisors is an integer number (37255323).

Almost surely, 21448273216 is an apocalyptic number.

1448273216 is a gapful number since it is divisible by the number (16) 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 1448273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564723566).

1448273216 is an abundant number, since it is smaller than the sum of its proper divisors (1681173916).

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

1448273216 is a wasteful number, since it uses less digits than its factorization.

1448273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 765 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 1448273216 is about 38056.1849900906. The cubic root of 1448273216 is about 1131.4017157569.

The spelling of 1448273216 in words is "one billion, four hundred forty-eight million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 293 338 416 457 586 676 832 914 1172 1352 1828 2344 2704 3656 3809 4688 5408 5941 7312 7618 9376 10816 11882 14624 15236 18752 23764 29248 30472 47528 49517 60944 77233 95056 99034 121888 133901 154466 190112 198068 243776 267802 308932 380224 396136 535604 617864 792272 1071208 1235728 1584544 1740713 2142416 2471456 3169088 3481426 4284832 4942912 6962852 8569664 13925704 22629269 27851408 45258538 55702816 90517076 111405632 181034152 362068304 724136608 1448273216