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52136 = 237319
BaseRepresentation
bin1100101110101000
32122111222
430232220
53132021
61041212
7305000
oct145650
978458
1052136
1136197
1226208
131a966
1415000
15106ab
hexcba8

52136 has 32 divisors (see below), whose sum is σ = 120000. Its totient is φ = 21168.

The previous prime is 52127. The next prime is 52147. The reversal of 52136 is 63125.

52136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

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, 2735 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (3750).

252136 is an apocalyptic number.

52136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60000).

52136 is an abundant number, since it is smaller than the sum of its proper divisors (67864).

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

52136 is a wasteful number, since it uses less digits than its factorization.

52136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 28 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 52136 is about 228.3330900242. Note that the first 3 decimals coincide. The cubic root of 52136 is about 37.3576230821.

The spelling of 52136 in words is "fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1862 2744 3724 6517 7448 13034 26068 52136