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55128736 = 2513891489
BaseRepresentation
bin1101001001001…
…1001010100000
310211201211102001
43102103022200
5103103104421
65245333344
71236405115
oct322231240
9124654361
1055128736
1129134043
1216567254
13b562970
14747090c
154c8e691
hex34932a0

55128736 has 48 divisors (see below), whose sum is σ = 118276200. Its totient is φ = 25141248.

The previous prime is 55128727. The next prime is 55128751. The reversal of 55128736 is 63782155.

It can be written as a sum of positive squares in 4 ways, for example, as 20976400 + 34152336 = 4580^2 + 5844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55128695 and 55128704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36280 + ... + 37768.

Almost surely, 255128736 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 55128736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59138100).

55128736 is an abundant number, since it is smaller than the sum of its proper divisors (63147464).

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

55128736 is a wasteful number, since it uses less digits than its factorization.

55128736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1593 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 55128736 is about 7424.8727935231. The cubic root of 55128736 is about 380.5917281411.

The spelling of 55128736 in words is "fifty-five million, one hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 89 104 178 208 356 416 712 1157 1424 1489 2314 2848 2978 4628 5956 9256 11912 18512 19357 23824 37024 38714 47648 77428 132521 154856 265042 309712 530084 619424 1060168 1722773 2120336 3445546 4240672 6891092 13782184 27564368 55128736