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448248 = 23319983
BaseRepresentation
bin1101101011011111000
3211202212210
41231123320
5103320443
613335120
73544563
oct1553370
9752783
10448248
11286859
121974a0
13129048
14b94da
158cc33
hex6d6f8

448248 has 32 divisors (see below), whose sum is σ = 1180800. Its totient is φ = 141408.

The previous prime is 448241. The next prime is 448249. The reversal of 448248 is 842844.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448241) by changing a digit.

448248 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, 36 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2448248 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 448248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590400).

448248 is an abundant number, since it is smaller than the sum of its proper divisors (732552).

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

448248 is a wasteful number, since it uses less digits than its factorization.

448248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1007 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 448248 is about 669.5132560301. The cubic root of 448248 is about 76.5313639603.

It can be divided in two parts, 448 and 248, that added together give a palindrome (696).

The spelling of 448248 in words is "four hundred forty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 983 1966 2949 3932 5898 7864 11796 18677 23592 37354 56031 74708 112062 149416 224124 448248