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59444 = 22711193
BaseRepresentation
bin1110100000110100
310000112122
432200310
53400234
61135112
7335210
oct164064
9100478
1059444
1140730
122a498
1321098
1417940
151292e
hexe834

59444 has 24 divisors (see below), whose sum is σ = 130368. Its totient is φ = 23040.

The previous prime is 59443. The next prime is 59447. The reversal of 59444 is 44495.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (5432).

259444 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 59444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65184).

59444 is an abundant number, since it is smaller than the sum of its proper divisors (70924).

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

59444 is a wasteful number, since it uses less digits than its factorization.

59444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 59444 is about 243.8114025225. The cubic root of 59444 is about 39.0273750385.

It can be divided in two parts, 5 and 9444, that added together give a palindrome (9449).

The spelling of 59444 in words is "fifty-nine thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 193 308 386 772 1351 2123 2702 4246 5404 8492 14861 29722 59444