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55126144 = 271921193
BaseRepresentation
bin1101001001001…
…0100010000000
310211201200212001
43102102202000
5103103014034
65245313344
71236364423
oct322224200
9124650761
1055126144
11291320a7
1216565854
13b561728
14746d9ba
154c8da14
hex3492880

55126144 has 48 divisors (see below), whose sum is σ = 116003070. Its totient is φ = 26090496.

The previous prime is 55126109. The next prime is 55126151. The reversal of 55126144 is 44162155.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 8340544 = 6840^2 + 2888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45612 + ... + 46804.

Almost surely, 255126144 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 55126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58001535).

55126144 is an abundant number, since it is smaller than the sum of its proper divisors (60876926).

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

55126144 is a wasteful number, since it uses less digits than its factorization.

55126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1214 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 55126144 is about 7424.6982430264. The cubic root of 55126144 is about 380.5857632590.

Adding to 55126144 its reverse (44162155), we get a palindrome (99288299).

The spelling of 55126144 in words is "fifty-five million, one hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1193 1216 1444 2386 2432 2888 4772 5776 9544 11552 19088 22667 23104 38176 45334 46208 76352 90668 152704 181336 362672 430673 725344 861346 1450688 1722692 2901376 3445384 6890768 13781536 27563072 55126144