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37044 = 223373
BaseRepresentation
bin1001000010110100
31212211000
421002310
52141134
6443300
7213000
oct110264
955730
1037044
1125917
1219530
1313b27
14d700
15ae99
hex90b4

37044 has 48 divisors (see below), whose sum is σ = 112000. Its totient is φ = 10584.

The previous prime is 37039. The next prime is 37049. The reversal of 37044 is 44073.

Multipling 37044 by its product of nonzero digits (336), we get a square (12446784 = 35282).

It can be divided in two parts, 370 and 44, that added together give a palindrome (414).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (37039) and next prime (37049).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 14.

It is a zygodrome in base 6.

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 37044.

It is not an unprimeable number, because it can be changed into a prime (37049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5289 + ... + 5295.

237044 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 37044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56000).

37044 is an abundant number, since it is smaller than the sum of its proper divisors (74956).

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

37044 is a wasteful number, since it uses less digits than its factorization.

37044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 37044 is about 192.4681791881. The cubic root of 37044 is about 33.3354220913.

The spelling of 37044 in words is "thirty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 37044