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75444 = 2236287
BaseRepresentation
bin10010011010110100
310211111020
4102122310
54403234
61341140
7432645
oct223264
9124436
1075444
1151756
12377b0
1328455
141d6cc
1517549
hex126b4

75444 has 12 divisors (see below), whose sum is σ = 176064. Its totient is φ = 25144.

The previous prime is 75437. The next prime is 75479. The reversal of 75444 is 44457.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

75444 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 3 ways as a sum of consecutive naturals, for example, 3132 + ... + 3155.

It is an arithmetic number, because the mean of its divisors is an integer number (14672).

275444 is an apocalyptic number.

It is an amenable number.

75444 is an abundant number, since it is smaller than the sum of its proper divisors (100620).

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 (88032).

75444 is a wasteful number, since it uses less digits than its factorization.

75444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6292 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 75444 is about 274.6707119443. The cubic root of 75444 is about 42.2546882745.

The spelling of 75444 in words is "seventy-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 6287 12574 18861 25148 37722 75444