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55112512 = 267139463
BaseRepresentation
bin1101001000111…
…1001101000000
310211201000011011
43102033031000
5103102100022
65245130304
71236306610
oct322171500
9124630134
1055112512
1129122934
1216559994
13b558470
147468a40
154c89977
hex348f340

55112512 has 56 divisors (see below), whose sum is σ = 134615936. Its totient is φ = 21800448.

The previous prime is 55112507. The next prime is 55112537. The reversal of 55112512 is 21521155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 1093 + ... + 10555.

It is an arithmetic number, because the mean of its divisors is an integer number (2403856).

Almost surely, 255112512 is an apocalyptic number.

55112512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67307968).

55112512 is an abundant number, since it is smaller than the sum of its proper divisors (79503424).

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

55112512 is a wasteful number, since it uses less digits than its factorization.

55112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9495 (or 9485 counting only the distinct ones).

The product of its digits is 500, while the sum is 22.

The square root of 55112512 is about 7423.7801691591. The cubic root of 55112512 is about 380.5543893200.

Adding to 55112512 its reverse (21521155), we get a palindrome (76633667).

It can be divided in two parts, 55112 and 512, that multiplied together give a square (28217344 = 53122).

The spelling of 55112512 in words is "fifty-five million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 9463 18926 37852 66241 75704 123019 132482 151408 246038 264964 302816 492076 529928 605632 861133 984152 1059856 1722266 1968304 2119712 3444532 3936608 4239424 6889064 7873216 13778128 27556256 55112512