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55127840 = 255291092
BaseRepresentation
bin1101001001001…
…0111100100000
310211201210011212
43102102330200
5103103042330
65245325252
71236402365
oct322227440
9124653155
1055127840
11291333a9
1216566828
13b562431
14747046c
154c8e295
hex3492f20

55127840 has 72 divisors (see below), whose sum is σ = 135977940. Its totient is φ = 21095424.

The previous prime is 55127837. The next prime is 55127867. The reversal of 55127840 is 4872155.

It can be written as a sum of positive squares in 6 ways, for example, as 35378704 + 19749136 = 5948^2 + 4444^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 55127797 and 55127806.

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 11 ways as a sum of consecutive naturals, for example, 505706 + ... + 505814.

Almost surely, 255127840 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 55127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67988970).

55127840 is an abundant number, since it is smaller than the sum of its proper divisors (80850100).

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

55127840 is a wasteful number, since it uses less digits than its factorization.

55127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 55127840 is about 7424.8124555439. The cubic root of 55127840 is about 380.5896662277.

Adding to 55127840 its reverse (4872155), we get a palindrome (59999995).

The spelling of 55127840 in words is "fifty-five million, one hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 109 116 145 160 218 232 290 436 464 545 580 872 928 1090 1160 1744 2180 2320 3161 3488 4360 4640 6322 8720 11881 12644 15805 17440 23762 25288 31610 47524 50576 59405 63220 95048 101152 118810 126440 190096 237620 252880 344549 380192 475240 505760 689098 950480 1378196 1722745 1900960 2756392 3445490 5512784 6890980 11025568 13781960 27563920 55127840