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448034292 = 223212445397
BaseRepresentation
bin11010101101000…
…111010111110100
31011020001111111200
4122231013113310
51404144044132
6112242532500
714050141266
oct3255072764
91136044450
10448034292
1120a9a3882
12106067130
1371a8c064
1443709b36
1529500d7c
hex1ab475f4

448034292 has 18 divisors (see below), whose sum is σ = 1132531218. Its totient is φ = 149344752.

The previous prime is 448034291. The next prime is 448034297. The reversal of 448034292 is 292430844.

It can be written as a sum of positive squares in only one way, i.e., 417630096 + 30404196 = 20436^2 + 5514^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12445397 = 448034292 / (4 + 4 + 8 + 0 + 3 + 4 + 2 + 9 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448034291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6222663 + ... + 6222734.

It is an arithmetic number, because the mean of its divisors is an integer number (62918401).

Almost surely, 2448034292 is an apocalyptic number.

It is an amenable number.

448034292 is an abundant number, since it is smaller than the sum of its proper divisors (684496926).

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

448034292 is a wasteful number, since it uses less digits than its factorization.

448034292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445407 (or 12445402 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 448034292 is about 21166.8205453724. The cubic root of 448034292 is about 765.1919958954.

The spelling of 448034292 in words is "four hundred forty-eight million, thirty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 12445397 24890794 37336191 49781588 74672382 112008573 149344764 224017146 448034292