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55476 = 22322367
BaseRepresentation
bin1101100010110100
32211002200
431202310
53233401
61104500
7320511
oct154264
984080
1055476
1138753
1228130
131c335
1416308
1511686
hexd8b4

55476 has 36 divisors (see below), whose sum is σ = 148512. Its totient is φ = 17424.

The previous prime is 55469. The next prime is 55487. The reversal of 55476 is 67455.

55476 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 tau number, because it is divible by the number of its divisors (36).

Its product of digits (4200) is a multiple of the sum of its prime factors (100).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

55476 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 11 ways as a sum of consecutive naturals, for example, 795 + ... + 861.

255476 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 55476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74256).

55476 is an abundant number, since it is smaller than the sum of its proper divisors (93036).

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

55476 is a wasteful number, since it uses less digits than its factorization.

55476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 55476 is about 235.5334371167. The cubic root of 55476 is about 38.1389190420.

It can be divided in two parts, 554 and 76, that added together give a triangular number (630 = T35).

The spelling of 55476 in words is "fifty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 804 828 1206 1541 2412 3082 4623 6164 9246 13869 18492 27738 55476