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54291248 = 2411229967
BaseRepresentation
bin1100111100011…
…0101100110000
310210011021120222
43033012230300
5102344304443
65215352212
71226316344
oct317065460
9123137528
1054291248
1128711900
1216222668
13b32b6cb
1472d3624
154b76468
hex33c6b30

54291248 has 60 divisors (see below), whose sum is σ = 119731920. Its totient is φ = 23802240.

The previous prime is 54291233. The next prime is 54291271. The reversal of 54291248 is 84219245.

54291248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 55661 + ... + 56627.

It is an arithmetic number, because the mean of its divisors is an integer number (1995532).

Almost surely, 254291248 is an apocalyptic number.

54291248 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54291248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59865960).

54291248 is an abundant number, since it is smaller than the sum of its proper divisors (65440672).

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

54291248 is a wasteful number, since it uses less digits than its factorization.

54291248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1009 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 54291248 is about 7368.2594959733. The cubic root of 54291248 is about 378.6546330126.

The spelling of 54291248 in words is "fifty-four million, two hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 967 968 1276 1934 1936 2552 3509 3868 5104 7018 7736 10637 14036 15472 21274 28043 28072 42548 56086 56144 85096 112172 117007 170192 224344 234014 308473 448688 468028 616946 936056 1233892 1872112 2467784 3393203 4935568 6786406 13572812 27145624 54291248