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55176 = 23311219
BaseRepresentation
bin1101011110001000
32210200120
431132020
53231201
61103240
7316602
oct153610
983616
1055176
1138500
1227b20
131c164
1416172
1511536
hexd788

55176 has 48 divisors (see below), whose sum is σ = 159600. Its totient is φ = 15840.

The previous prime is 55171. The next prime is 55201. The reversal of 55176 is 67155.

55176 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1050) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (55171) 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, 2895 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (3325).

255176 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 55176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79800).

55176 is an abundant number, since it is smaller than the sum of its proper divisors (104424).

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

55176 is a wasteful number, since it uses less digits than its factorization.

55176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 35 counting only the distinct ones).

The product of its digits is 1050, while the sum is 24.

The square root of 55176 is about 234.8957215447. The cubic root of 55176 is about 38.0700462415.

It can be divided in two parts, 55 and 176, that added together give a triangular number (231 = T21).

The spelling of 55176 in words is "fifty-five thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 836 968 1254 1452 1672 2299 2508 2904 4598 5016 6897 9196 13794 18392 27588 55176