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55112064 = 2737229101
BaseRepresentation
bin1101001000111…
…1000110000000
310211200222112120
43102033012000
5103102041224
65245124240
71236305400
oct322170600
9124628476
1055112064
1129122567
1216559680
13b5581b7
147468800
154c89779
hex348f180

55112064 has 192 divisors, whose sum is σ = 177908400. Its totient is φ = 15052800.

The previous prime is 55112063. The next prime is 55112081. The reversal of 55112064 is 46021155.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55112063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545614 + ... + 545714.

Almost surely, 255112064 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 55112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88954200).

55112064 is an abundant number, since it is smaller than the sum of its proper divisors (122796336).

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

55112064 is a wasteful number, since it uses less digits than its factorization.

55112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55112064 is about 7423.7499957905. The cubic root of 55112064 is about 380.5533581638.

Subtracting from 55112064 its reverse (46021155), we obtain a palindrome (9090909).

The spelling of 55112064 in words is "fifty-five million, one hundred twelve thousand, sixty-four".