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60444 = 22322373
BaseRepresentation
bin1110110000011100
310001220200
432300130
53413234
61143500
7341136
oct166034
9101820
1060444
114145a
122ab90
1321687
1418056
1512d99
hexec1c

60444 has 36 divisors (see below), whose sum is σ = 161616. Its totient is φ = 19008.

The previous prime is 60443. The next prime is 60449. The reversal of 60444 is 44406.

60444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

60444 is a modest number, since divided by 444 gives 60 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792 + ... + 864.

260444 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 60444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80808).

60444 is an abundant number, since it is smaller than the sum of its proper divisors (101172).

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

60444 is a wasteful number, since it uses less digits than its factorization.

60444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 60444 is about 245.8536149826. The cubic root of 60444 is about 39.2450059233.

The spelling of 60444 in words is "sixty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 73 92 138 146 207 219 276 292 414 438 657 828 876 1314 1679 2628 3358 5037 6716 10074 15111 20148 30222 60444