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448468452 = 223212457457
BaseRepresentation
bin11010101110110…
…001010111100100
31011020212120001200
4122232301113210
51404301442302
6112300122500
714053630125
oct3256612744
91136776050
10448468452
1121016aa93
12106236430
1371bb1863
14437c004c
152958981c
hex1abb15e4

448468452 has 18 divisors (see below), whose sum is σ = 1133628678. Its totient is φ = 149489472.

The previous prime is 448468451. The next prime is 448468463. The reversal of 448468452 is 254864844.

It can be written as a sum of positive squares in only one way, i.e., 315204516 + 133263936 = 17754^2 + 11544^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4484684522 = 402247904878552608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 448468398 and 448468407.

It is not an unprimeable number, because it can be changed into a prime (448468451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6228693 + ... + 6228764.

It is an arithmetic number, because the mean of its divisors is an integer number (62979371).

Almost surely, 2448468452 is an apocalyptic number.

It is an amenable number.

448468452 is an abundant number, since it is smaller than the sum of its proper divisors (685160226).

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

448468452 is a wasteful number, since it uses less digits than its factorization.

448468452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12457467 (or 12457462 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 448468452 is about 21177.0737355282. The cubic root of 448468452 is about 765.4390815250.

The spelling of 448468452 in words is "four hundred forty-eight million, four hundred sixty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 12457457 24914914 37372371 49829828 74744742 112117113 149489484 224234226 448468452