Search a number
-
+
55047168 = 2103311181
BaseRepresentation
bin1101000111111…
…1010000000000
310211120200112000
43101333100000
5103043002133
65243504000
71235615241
oct321772000
9124520460
1055047168
1129088830
1216528000
13b5347b7
14744ccc8
154c75413
hex347f400

55047168 has 176 divisors, whose sum is σ = 178825920. Its totient is φ = 16588800.

The previous prime is 55047163. The next prime is 55047169. The reversal of 55047168 is 86174055.

55047168 is a `hidden beast` number, since 550 + 47 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55047163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304038 + ... + 304218.

Almost surely, 255047168 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 55047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89412960).

55047168 is an abundant number, since it is smaller than the sum of its proper divisors (123778752).

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

55047168 is a wasteful number, since it uses less digits than its factorization.

55047168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 55047168 is about 7419.3778714930. The cubic root of 55047168 is about 380.4039287476.

The spelling of 55047168 in words is "fifty-five million, forty-seven thousand, one hundred sixty-eight".