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54245400 = 23352118219
BaseRepresentation
bin1100111011101…
…1100000011000
310210001221200220
43032323200120
5102341323100
65214400040
71226035566
oct316734030
9123057626
1054245400
1128690410
1216200020
13b313891
1472c0a36
154b67aa0
hex33bb818

54245400 has 96 divisors (see below), whose sum is σ = 183470400. Its totient is φ = 13148800.

The previous prime is 54245393. The next prime is 54245417. The reversal of 54245400 is 454245.

54245400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 2491 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (1911150).

Almost surely, 254245400 is an apocalyptic number.

54245400 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 54245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91735200).

54245400 is an abundant number, since it is smaller than the sum of its proper divisors (129225000).

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

54245400 is a wasteful number, since it uses less digits than its factorization.

54245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 54245400 is about 7365.1476563610. The cubic root of 54245400 is about 378.5480139445.

Adding to 54245400 its reverse (454245), we get a palindrome (54699645).

It can be divided in two parts, 54245 and 400, that added together give a palindrome (54645).

The spelling of 54245400 in words is "fifty-four million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 8219 16438 24657 32876 41095 49314 65752 82190 90409 98628 123285 164380 180818 197256 205475 246570 271227 328760 361636 410950 452045 493140 542454 616425 723272 821900 904090 986280 1084908 1232850 1356135 1643800 1808180 2169816 2260225 2465700 2712270 3616360 4520450 4931400 5424540 6780675 9040900 10849080 13561350 18081800 27122700 54245400