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249444 = 223213241
BaseRepresentation
bin111100111001100100
3110200011200
4330321210
530440234
65202500
72056146
oct747144
9420150
10249444
11160458
12100430
1389700
1466c96
154dd99
hex3ce64

249444 has 54 divisors (see below), whose sum is σ = 699426. Its totient is φ = 74880.

The previous prime is 249439. The next prime is 249449. The reversal of 249444 is 444942.

It is an interprime number because it is at equal distance from previous prime (249439) and next prime (249449).

It can be written as a sum of positive squares in 3 ways, for example, as 19044 + 230400 = 138^2 + 480^2 .

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

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 249444.

It is not an unprimeable number, because it can be changed into a prime (249449) by changing a digit.

249444 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 17 ways as a sum of consecutive naturals, for example, 6064 + ... + 6104.

2249444 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 249444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349713).

249444 is an abundant number, since it is smaller than the sum of its proper divisors (449982).

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

249444 is a wasteful number, since it uses less digits than its factorization.

249444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 249444 is about 499.4436905198. The cubic root of 249444 is about 62.9493167573.

The spelling of 249444 in words is "two hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 169 234 246 338 369 468 492 507 533 676 738 1014 1066 1476 1521 1599 2028 2132 3042 3198 4797 6084 6396 6929 9594 13858 19188 20787 27716 41574 62361 83148 124722 249444