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448500 = 223531323
BaseRepresentation
bin1101101011111110100
3211210020010
41231133310
5103323000
613340220
73545403
oct1553764
9753203
10448500
11286a68
12197670
131291b0
14b963a
158cd50
hex6d7f4

448500 has 96 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 105600.

The previous prime is 448451. The next prime is 448519. The reversal of 448500 is 5844.

It is a congruent number.

It is an unprimeable number.

448500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19489 + ... + 19511.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2448500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

448500 is an abundant number, since it is smaller than the sum of its proper divisors (1019148).

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

448500 is a wasteful number, since it uses less digits than its factorization.

448500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 448500 is about 669.7014260101. The cubic root of 448500 is about 76.5457029652.

The spelling of 448500 in words is "four hundred forty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 125 130 138 150 156 195 230 250 260 276 299 300 325 345 375 390 460 500 575 598 650 690 750 780 897 975 1150 1196 1300 1380 1495 1500 1625 1725 1794 1950 2300 2875 2990 3250 3450 3588 3900 4485 4875 5750 5980 6500 6900 7475 8625 8970 9750 11500 14950 17250 17940 19500 22425 29900 34500 37375 44850 74750 89700 112125 149500 224250 448500