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54248220 = 223251397239
BaseRepresentation
bin1100111011110…
…0001100011100
310210002002120100
43032330030130
5102341420340
65214421100
71226050035
oct316741434
9123062510
1054248220
1128692544
1216201790
13b314c50
1472c1a8c
154b68830
hex33bc31c

54248220 has 144 divisors (see below), whose sum is σ = 179786880. Its totient is φ = 13160448.

The previous prime is 54248213. The next prime is 54248231. The reversal of 54248220 is 2284245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226861 + ... + 227099.

It is an arithmetic number, because the mean of its divisors is an integer number (1248520).

Almost surely, 254248220 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 54248220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89893440).

54248220 is an abundant number, since it is smaller than the sum of its proper divisors (125538660).

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

54248220 is a wasteful number, since it uses less digits than its factorization.

54248220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54248220 is about 7365.3390960634. The cubic root of 54248220 is about 378.5545735600.

The spelling of 54248220 in words is "fifty-four million, two hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 97 117 130 156 180 194 195 234 239 260 291 388 390 468 478 485 582 585 717 780 873 956 970 1164 1170 1195 1261 1434 1455 1746 1940 2151 2340 2390 2522 2868 2910 3107 3492 3585 3783 4302 4365 4780 5044 5820 6214 6305 7170 7566 8604 8730 9321 10755 11349 12428 12610 14340 15132 15535 17460 18642 18915 21510 22698 23183 25220 27963 31070 37284 37830 43020 45396 46366 46605 55926 56745 62140 69549 75660 92732 93210 111852 113490 115915 139098 139815 186420 208647 226980 231830 278196 279630 301379 347745 417294 463660 559260 602758 695490 834588 904137 1043235 1205516 1390980 1506895 1808274 2086470 2712411 3013790 3616548 4172940 4520685 5424822 6027580 9041370 10849644 13562055 18082740 27124110 54248220