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248444 = 22719467
BaseRepresentation
bin111100101001111100
3110121210122
4330221330
530422234
65154112
72053220
oct745174
9417718
10248444
1115a729
12bb938
1389111
1466780
154d92e
hex3ca7c

248444 has 24 divisors (see below), whose sum is σ = 524160. Its totient is φ = 100656.

The previous prime is 248441. The next prime is 248447. The reversal of 248444 is 444842.

It is an interprime number because it is at equal distance from previous prime (248441) and next prime (248447).

It is a super-2 number, since 2×2484442 = 123448842272, which contains 22 as substring.

248444 is a modest number, since divided by 444 gives 248 as remainder.

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 248444.

It is not an unprimeable number, because it can be changed into a prime (248441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299 + ... + 765.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2248444 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 248444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

248444 is an abundant number, since it is smaller than the sum of its proper divisors (275716).

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

248444 is a wasteful number, since it uses less digits than its factorization.

248444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 248444 is about 498.4415713000. The cubic root of 248444 is about 62.8650845928.

The spelling of 248444 in words is "two hundred forty-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 467 532 934 1868 3269 6538 8873 13076 17746 35492 62111 124222 248444