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448280 = 23571601
BaseRepresentation
bin1101101011100011000
3211202220222
41231130120
5103321110
613335212
73544640
oct1553430
9752828
10448280
11286888
12197508
13129071
14b9520
158cc55
hex6d718

448280 has 32 divisors (see below), whose sum is σ = 1153440. Its totient is φ = 153600.

The previous prime is 448249. The next prime is 448303. The reversal of 448280 is 82844.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448280.

It is an unprimeable number.

448280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (36045).

2448280 is an apocalyptic number.

448280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448280 is an abundant number, since it is smaller than the sum of its proper divisors (705160).

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

448280 is a wasteful number, since it uses less digits than its factorization.

448280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 448280 is about 669.5371535621. The cubic root of 448280 is about 76.5331850842.

It can be divided in two parts, 4 and 48280, that added together give a palindrome (48284).

The spelling of 448280 in words is "four hundred forty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1601 3202 6404 8005 11207 12808 16010 22414 32020 44828 56035 64040 89656 112070 224140 448280