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55108864 = 28613529
BaseRepresentation
bin1101001000111…
…0010100000000
310211200211011001
43102032110000
5103101440424
65245101344
71236263146
oct322162400
9124624131
1055108864
1129120118
1216557854
13b5568c5
147467596
154c88844
hex348e500

55108864 has 36 divisors (see below), whose sum is σ = 111837460. Its totient is φ = 27095040.

The previous prime is 55108861. The next prime is 55108931. The reversal of 55108864 is 46880155.

It can be written as a sum of positive squares in 2 ways, for example, as 3268864 + 51840000 = 1808^2 + 7200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55108861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13852 + ... + 17380.

Almost surely, 255108864 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 55108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55918730).

55108864 is an abundant number, since it is smaller than the sum of its proper divisors (56728596).

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

55108864 is an equidigital number, since it uses as much as digits as its factorization.

55108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 55108864 is about 7423.5344681627. The cubic root of 55108864 is about 380.5459925997.

The spelling of 55108864 in words is "fifty-five million, one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3529 3904 7058 7808 14116 15616 28232 56464 112928 215269 225856 430538 451712 861076 903424 1722152 3444304 6888608 13777216 27554432 55108864