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449255560 = 235135316301
BaseRepresentation
bin11010110001110…
…001100010001000
31011022100112202211
4122301301202020
51410002134220
6112325034504
714063415655
oct3261614210
91138315684
10449255560
11210658396
12106555a34
13720c8bc0
1443946c2c
1529692b5a
hex1ac71888

449255560 has 64 divisors (see below), whose sum is σ = 1109188080. Its totient is φ = 162739200.

The previous prime is 449255539. The next prime is 449255561. The reversal of 449255560 is 65552944.

449255560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 240684196 + 208571364 = 15514^2 + 14442^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (449255561) 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, 19410 + ... + 35710.

Almost surely, 2449255560 is an apocalyptic number.

449255560 is a gapful number since it is divisible by the number (40) 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 449255560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554594040).

449255560 is an abundant number, since it is smaller than the sum of its proper divisors (659932520).

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

449255560 is a wasteful number, since it uses less digits than its factorization.

449255560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16378 (or 16374 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The square root of 449255560 is about 21195.6495536230. The cubic root of 449255560 is about 765.8866277548.

The spelling of 449255560 in words is "four hundred forty-nine million, two hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 5512 6890 13780 16301 27560 32602 65204 81505 130408 163010 211913 326020 423826 652040 847652 863953 1059565 1695304 1727906 2119130 3455812 4238260 4319765 6911624 8476520 8639530 11231389 17279060 22462778 34558120 44925556 56156945 89851112 112313890 224627780 449255560