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54248000 = 26536781
BaseRepresentation
bin1100111011110…
…0001001000000
310210002002021012
43032330021000
5102341414000
65214420052
71226046302
oct316741100
9123062235
1054248000
1128692364
1216201628
13b314b11
1472c1972
154b68735
hex33bc240

54248000 has 56 divisors (see below), whose sum is σ = 134364984. Its totient is φ = 21696000.

The previous prime is 54247943. The next prime is 54248057. The reversal of 54248000 is 84245.

It is an interprime number because it is at equal distance from previous prime (54247943) and next prime (54248057).

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 51036736 = 1792^2 + 7144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4610 + ... + 11390.

Almost surely, 254248000 is an apocalyptic number.

54248000 is a gapful number since it is divisible by the number (50) 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 54248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67182492).

54248000 is an abundant number, since it is smaller than the sum of its proper divisors (80116984).

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

54248000 is an equidigital number, since it uses as much as digits as its factorization.

54248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 54248000 is about 7365.3241612301. The cubic root of 54248000 is about 378.5540618252.

The spelling of 54248000 in words is "fifty-four million, two hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 6781 8000 13562 27124 33905 54248 67810 108496 135620 169525 216992 271240 339050 433984 542480 678100 847625 1084960 1356200 1695250 2169920 2712400 3390500 5424800 6781000 10849600 13562000 27124000 54248000