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448961960 = 23523094861
BaseRepresentation
bin11010110000101…
…001110110101000
31011021210122000202
4122300221312220
51404413240320
6112314451332
714061053666
oct3260516650
91137718022
10448961960
11210477847
12106433b48
1372025385
14438abc36
1529635b75
hex1ac29da8

448961960 has 32 divisors (see below), whose sum is σ = 1010809800. Its totient is φ = 179470080.

The previous prime is 448961957. The next prime is 448961971. The reversal of 448961960 is 69169844.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 448507684 + 454276 = 21178^2 + 674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89930 + ... + 94790.

Almost surely, 2448961960 is an apocalyptic number.

448961960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448961960 is an abundant number, since it is smaller than the sum of its proper divisors (561847840).

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

448961960 is a wasteful number, since it uses less digits than its factorization.

448961960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7181 (or 7177 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 448961960 is about 21188.7224721077. The cubic root of 448961960 is about 765.7197492291.

The spelling of 448961960 in words is "four hundred forty-eight million, nine hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2309 4618 4861 9236 9722 11545 18472 19444 23090 24305 38888 46180 48610 92360 97220 194440 11224049 22448098 44896196 56120245 89792392 112240490 224480980 448961960