Search a number
-
+
55438208 = 27728839
BaseRepresentation
bin1101001101111…
…0101110000000
310212022112220222
43103132232000
5103143010313
65300122212
71242134300
oct323365600
9125275828
1055438208
1129325601
1216696368
13b640797
147511600
154d01208
hex34deb80

55438208 has 48 divisors (see below), whose sum is σ = 128489400. Its totient is φ = 23756544.

The previous prime is 55438183. The next prime is 55438217. The reversal of 55438208 is 80283455.

55438208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1853 + ... + 10691.

Almost surely, 255438208 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 55438208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64244700).

55438208 is an abundant number, since it is smaller than the sum of its proper divisors (73051192).

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

55438208 is an equidigital number, since it uses as much as digits as its factorization.

55438208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 55438208 is about 7445.6838503928. The cubic root of 55438208 is about 381.3025659671.

The spelling of 55438208 in words is "fifty-five million, four hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 8839 17678 35356 61873 70712 123746 141424 247492 282848 433111 494984 565696 866222 989968 1131392 1732444 1979936 3464888 3959872 6929776 7919744 13859552 27719104 55438208