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37444 = 22112337
BaseRepresentation
bin1001001001000100
31220100211
421021010
52144234
6445204
7214111
oct111104
956324
1037444
1126150
1219804
1314074
14d908
15b164
hex9244

37444 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 15840.

The previous prime is 37441. The next prime is 37447. The reversal of 37444 is 44473.

37444 = T47 + T48 + ... + T68.

It is an interprime number because it is at equal distance from previous prime (37441) and next prime (37447).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (37441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 994 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

237444 is an apocalyptic number.

It is an amenable number.

37444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

37444 is a wasteful number, since it uses less digits than its factorization.

37444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 73 counting only the distinct ones).

The product of its digits is 1344, while the sum is 22.

The square root of 37444 is about 193.5045219110. The cubic root of 37444 is about 33.4549777612.

Subtracting from 37444 its product of digits (1344), we obtain a square (36100 = 1902).

It can be divided in two parts, 3 and 7444, that added together give a palindrome (7447).

The spelling of 37444 in words is "thirty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 23 37 44 46 74 92 148 253 407 506 814 851 1012 1628 1702 3404 9361 18722 37444