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448506452 = 22377341513
BaseRepresentation
bin11010101110111…
…010101001010100
31011020221111012002
4122232322221110
51404304201302
6112301014432
714054145662
oct3256725124
91136844162
10448506452
11210196599
12106254418
1371bc5c44
14437cdc32
1529595c02
hex1abbaa54

448506452 has 24 divisors (see below), whose sum is σ = 817161576. Its totient is φ = 215198208.

The previous prime is 448506451. The next prime is 448506493. The reversal of 448506452 is 254605844.

It can be written as a sum of positive squares in 4 ways, for example, as 225780676 + 222725776 = 15026^2 + 14924^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448506451) 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, 9953 + ... + 31560.

It is an arithmetic number, because the mean of its divisors is an integer number (34048399).

Almost surely, 2448506452 is an apocalyptic number.

It is an amenable number.

448506452 is a deficient number, since it is larger than the sum of its proper divisors (368655124).

448506452 is a wasteful number, since it uses less digits than its factorization.

448506452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41627 (or 41625 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The square root of 448506452 is about 21177.9709131918. The cubic root of 448506452 is about 765.4607001869.

The spelling of 448506452 in words is "four hundred forty-eight million, five hundred six thousand, four hundred fifty-two".

Divisors: 1 2 4 37 73 74 146 148 292 2701 5402 10804 41513 83026 166052 1535981 3030449 3071962 6060898 6143924 12121796 112126613 224253226 448506452