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48285720 = 2334572129
BaseRepresentation
bin1011100000110…
…0100000011000
310100212011120000
42320030200120
544330120340
64442533000
71124264460
oct270144030
9110764500
1048285720
112528a85a
1214207160
13a008042
1465acba0
15438bd30
hex2e0c818

48285720 has 160 divisors (see below), whose sum is σ = 185565600. Its totient is φ = 11031552.

The previous prime is 48285719. The next prime is 48285739. The reversal of 48285720 is 2758284.

It is a happy number.

48285720 is a `hidden beast` number, since 4 + 82 + 8 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21616 + ... + 23744.

It is an arithmetic number, because the mean of its divisors is an integer number (1159785).

Almost surely, 248285720 is an apocalyptic number.

48285720 is a gapful number since it is divisible by the number (40) 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 48285720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92782800).

48285720 is an abundant number, since it is smaller than the sum of its proper divisors (137279880).

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

48285720 is a wasteful number, since it uses less digits than its factorization.

48285720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48285720 is about 6948.7927008942. The cubic root of 48285720 is about 364.1437865304.

The spelling of 48285720 in words is "forty-eight million, two hundred eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2129 2268 2520 2835 3240 3780 4258 4536 5670 6387 7560 8516 10645 11340 12774 14903 17032 19161 21290 22680 25548 29806 31935 38322 42580 44709 51096 57483 59612 63870 74515 76644 85160 89418 95805 114966 119224 127740 134127 149030 153288 172449 178836 191610 223545 229932 255480 268254 287415 298060 344898 357672 383220 402381 447090 459864 536508 574830 596120 670635 689796 766440 804762 862245 894180 1073016 1149660 1207143 1341270 1379592 1609524 1724490 1788360 2011905 2299320 2414286 2682540 3219048 3448980 4023810 4828572 5365080 6035715 6897960 8047620 9657144 12071430 16095240 24142860 48285720