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54048750 = 235472971
BaseRepresentation
bin1100111000101…
…1011111101110
310202200221221120
43032023133232
5102314030000
65210241410
71224256350
oct316133756
9122627846
1054048750
1128566698
1216126266
13b275212
14726d0d0
154b296a0
hex338b7ee

54048750 has 160 divisors (see below), whose sum is σ = 161948160. Its totient is φ = 11760000.

The previous prime is 54048739. The next prime is 54048767. The reversal of 54048750 is 5784045.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 761215 + ... + 761285.

It is an arithmetic number, because the mean of its divisors is an integer number (1012176).

Almost surely, 254048750 is an apocalyptic number.

54048750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54048750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80974080).

54048750 is an abundant number, since it is smaller than the sum of its proper divisors (107899410).

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

54048750 is a wasteful number, since it uses less digits than its factorization.

54048750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 54048750 is about 7351.7854974149. The cubic root of 54048750 is about 378.0900236300.

The spelling of 54048750 in words is "fifty-four million, forty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 71 75 87 105 125 142 145 150 174 175 203 210 213 250 290 350 355 375 406 426 435 497 525 609 625 710 725 750 870 875 994 1015 1050 1065 1218 1250 1450 1491 1750 1775 1875 2030 2059 2130 2175 2485 2625 2982 3045 3550 3625 3750 4118 4350 4375 4970 5075 5250 5325 6090 6177 7250 7455 8750 8875 10150 10295 10650 10875 12354 12425 13125 14413 14910 15225 17750 18125 20590 21750 24850 25375 26250 26625 28826 30450 30885 36250 37275 43239 44375 50750 51475 53250 54375 61770 62125 72065 74550 76125 86478 88750 102950 108750 124250 126875 133125 144130 152250 154425 186375 216195 253750 257375 266250 308850 310625 360325 372750 380625 432390 514750 621250 720650 761250 772125 931875 1080975 1286875 1544250 1801625 1863750 2161950 2573750 3603250 3860625 5404875 7721250 9008125 10809750 18016250 27024375 54048750