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50064 = 2437149
BaseRepresentation
bin1100001110010000
32112200020
430032100
53100224
61023440
7265650
oct141620
975606
1050064
1134683
1224b80
1319a31
1414360
15ec79
hexc390

50064 has 40 divisors (see below), whose sum is σ = 148800. Its totient is φ = 14208.

The previous prime is 50053. The next prime is 50069. The reversal of 50064 is 46005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50069) by changing a digit.

50064 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 7 ways as a sum of consecutive naturals, for example, 262 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

250064 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 50064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

50064 is an abundant number, since it is smaller than the sum of its proper divisors (98736).

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

50064 is a wasteful number, since it uses less digits than its factorization.

50064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 50064 is about 223.7498603352. The cubic root of 50064 is about 36.8560268190.

Adding to 50064 its reverse (46005), we get a palindrome (96069).

The spelling of 50064 in words is "fifty thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 298 336 447 596 894 1043 1192 1788 2086 2384 3129 3576 4172 6258 7152 8344 12516 16688 25032 50064