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55366938 = 2321132311
BaseRepresentation
bin1101001100110…
…1010100011010
310212011221011100
43103031110122
5103133220223
65254412230
71241416434
oct323152432
9125157140
1055366938
1129287000
1216661076
13b617203
1474d3654
154cda043
hex34cd51a

55366938 has 48 divisors (see below), whose sum is σ = 132005952. Its totient is φ = 16770600.

The previous prime is 55366937. The next prime is 55366951. The reversal of 55366938 is 83966355.

55366938 is a `hidden beast` number, since 553 + 6 + 6 + 93 + 8 = 666.

55366938 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 = 55366893 and 55366902.

It is not an unprimeable number, because it can be changed into a prime (55366937) 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, 22803 + ... + 25113.

It is an arithmetic number, because the mean of its divisors is an integer number (2750124).

Almost surely, 255366938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55366938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66002976).

55366938 is an abundant number, since it is smaller than the sum of its proper divisors (76639014).

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

55366938 is a wasteful number, since it uses less digits than its factorization.

55366938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2327 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 55366938 is about 7440.8963169769. The cubic root of 55366938 is about 381.1390981559.

The spelling of 55366938 in words is "fifty-five million, three hundred sixty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2311 2662 3993 4622 6933 7986 11979 13866 20799 23958 25421 41598 50842 76263 152526 228789 279631 457578 559262 838893 1677786 2516679 3075941 5033358 6151882 9227823 18455646 27683469 55366938