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54238848 = 2731371031
BaseRepresentation
bin1100111011100…
…1111010000000
310210001121201020
43032321322000
5102341120343
65214305440
71226010516
oct316717200
9123047636
1054238848
11286864a4
12161b8280
13b3108c1
1472bc4b6
154b65b83
hex33b9e80

54238848 has 64 divisors (see below), whose sum is σ = 145264320. Its totient is φ = 17930240.

The previous prime is 54238837. The next prime is 54238861. The reversal of 54238848 is 84883245.

It is a happy number.

54238848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 52093 + ... + 53123.

It is an arithmetic number, because the mean of its divisors is an integer number (2269755).

Almost surely, 254238848 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 54238848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72632160).

54238848 is an abundant number, since it is smaller than the sum of its proper divisors (91025472).

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

54238848 is a wasteful number, since it uses less digits than its factorization.

54238848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 54238848 is about 7364.7028453292. The cubic root of 54238848 is about 378.5327724282.

The spelling of 54238848 in words is "fifty-four million, two hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1031 1096 1644 2062 2192 3093 3288 4124 4384 6186 6576 8248 8768 12372 13152 16496 17536 24744 26304 32992 49488 52608 65984 98976 131968 141247 197952 282494 395904 423741 564988 847482 1129976 1694964 2259952 3389928 4519904 6779856 9039808 13559712 18079616 27119424 54238848