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55134144 = 26321337199
BaseRepresentation
bin1101001001010…
…0011111000000
310211202002211100
43102110133000
5103103243034
65245414400
71236426642
oct322243700
9124662740
1055134144
112913810a
121656a400
13b565270
147472892
154c91099
hex34947c0

55134144 has 168 divisors, whose sum is σ = 175666400. Its totient is φ = 16422912.

The previous prime is 55134139. The next prime is 55134221. The reversal of 55134144 is 44143155.

It is a happy number.

55134144 is a `hidden beast` number, since 5 + 513 + 4 + 144 = 666.

It is a super-2 number, since 2×551341442 = 6079547669225472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 276957 + ... + 277155.

Almost surely, 255134144 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 55134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87833200).

55134144 is an abundant number, since it is smaller than the sum of its proper divisors (120532256).

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

55134144 is a wasteful number, since it uses less digits than its factorization.

55134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 55134144 is about 7425.2369659156. The cubic root of 55134144 is about 380.6041727868.

Adding to 55134144 its reverse (44143155), we get a palindrome (99277299).

It can be divided in two parts, 55134 and 144, that added together give a triangular number (55278 = T332).

The spelling of 55134144 in words is "fifty-five million, one hundred thirty-four thousand, one hundred forty-four".