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55076538 = 23112107709
BaseRepresentation
bin1101001000011…
…0011010111010
310211122011210210
43102012122322
5103044422123
65244251550
71236066666
oct322063272
9124564723
1055076538
11290a8900
1216540bb6
13b544c8a
1474598a6
154c7de93
hex34866ba

55076538 has 48 divisors (see below), whose sum is σ = 122381280. Its totient is φ = 16510560.

The previous prime is 55076537. The next prime is 55076551. The reversal of 55076538 is 83567055.

55076538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55076496 and 55076505.

It is not an unprimeable number, because it can be changed into a prime (55076533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77328 + ... + 78036.

It is an arithmetic number, because the mean of its divisors is an integer number (2549610).

Almost surely, 255076538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55076538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61190640).

55076538 is an abundant number, since it is smaller than the sum of its proper divisors (67304742).

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

55076538 is a wasteful number, since it uses less digits than its factorization.

55076538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 55076538 is about 7421.3568840206. The cubic root of 55076538 is about 380.4715705985.

The spelling of 55076538 in words is "fifty-five million, seventy-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 107 121 214 242 321 363 642 709 726 1177 1418 2127 2354 3531 4254 7062 7799 12947 15598 23397 25894 38841 46794 75863 77682 85789 151726 171578 227589 257367 455178 514734 834493 1668986 2503479 5006958 9179423 18358846 27538269 55076538