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65044 = 22723101
BaseRepresentation
bin1111111000010100
310022020001
433320110
54040134
61221044
7360430
oct177024
9108201
1065044
1144961
1231784
13237b5
14199c0
1514414
hexfe14

65044 has 24 divisors (see below), whose sum is σ = 137088. Its totient is φ = 26400.

The previous prime is 65033. The next prime is 65053. The reversal of 65044 is 44056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594 + ... + 694.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

265044 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 65044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544).

65044 is an abundant number, since it is smaller than the sum of its proper divisors (72044).

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

65044 is a wasteful number, since it uses less digits than its factorization.

65044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 65044 is about 255.0372521809. The cubic root of 65044 is about 40.2163279464.

Subtracting from 65044 its sum of digits (19), we obtain a square (65025 = 2552).

It can be divided in two parts, 6 and 5044, that added together give a triangular number (5050 = T100).

The spelling of 65044 in words is "sixty-five thousand, forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 101 161 202 322 404 644 707 1414 2323 2828 4646 9292 16261 32522 65044