Search a number
-
+
406985449 = 13293133449
BaseRepresentation
bin11000010000100…
…001101011101001
31001100211000002011
4120100201223221
51313142013244
6104215035521
713041214333
oct3020415351
91040730064
10406985449
11199807212
12b436bba1
1366418cc0
143c0a2453
1525ae3434
hex18421ae9

406985449 has 16 divisors (see below), whose sum is σ = 454986000. Its totient is φ = 361460736.

The previous prime is 406985431. The next prime is 406985477. The reversal of 406985449 is 944589604.

It can be written as a sum of positive squares in 8 ways, for example, as 246709849 + 160275600 = 15707^2 + 12660^2 .

It is not a de Polignac number, because 406985449 - 225 = 373431017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406985479) 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, 116277 + ... + 119725.

It is an arithmetic number, because the mean of its divisors is an integer number (28436625).

Almost surely, 2406985449 is an apocalyptic number.

It is an amenable number.

406985449 is a deficient number, since it is larger than the sum of its proper divisors (48000551).

406985449 is a wasteful number, since it uses less digits than its factorization.

406985449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 406985449 is about 20173.8803654627. The cubic root of 406985449 is about 741.0706737842.

The spelling of 406985449 in words is "four hundred six million, nine hundred eighty-five thousand, four hundred forty-nine".

Divisors: 1 13 29 313 377 3449 4069 9077 44837 100021 118001 1079537 1300273 14033981 31306573 406985449