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54289248 = 25313411061
BaseRepresentation
bin1100111100011…
…0001101100000
310210011011211220
43033012031200
5102344223443
65215335040
71226310456
oct317061540
9123134756
1054289248
1128710352
1216221480
13b32a820
1472d29d6
154b75a83
hex33c6360

54289248 has 96 divisors (see below), whose sum is σ = 157362912. Its totient is φ = 16281600.

The previous prime is 54289243. The next prime is 54289253. The reversal of 54289248 is 84298245.

It is an interprime number because it is at equal distance from previous prime (54289243) and next prime (54289253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54289241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50638 + ... + 51698.

It is an arithmetic number, because the mean of its divisors is an integer number (1639197).

Almost surely, 254289248 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 54289248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78681456).

54289248 is an abundant number, since it is smaller than the sum of its proper divisors (103073664).

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

54289248 is a wasteful number, since it uses less digits than its factorization.

54289248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 54289248 is about 7368.1237774619. The cubic root of 54289248 is about 378.6499832849.

The spelling of 54289248 in words is "fifty-four million, two hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1061 1066 1248 1312 1599 1968 2122 2132 3183 3198 3936 4244 4264 6366 6396 8488 8528 12732 12792 13793 16976 17056 25464 25584 27586 33952 41379 43501 50928 51168 55172 82758 87002 101856 110344 130503 165516 174004 220688 261006 331032 348008 441376 522012 565513 662064 696016 1044024 1131026 1324128 1392032 1696539 2088048 2262052 3393078 4176096 4524104 6786156 9048208 13572312 18096416 27144624 54289248