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48916560 = 24357112647
BaseRepresentation
bin1011101010011…
…0100001010000
310102001012220110
42322212201100
5100010312220
64504241320
71132532610
oct272464120
9112035813
1048916560
1125680810
1214470240
13a199214
1466d4a40
154463be0
hex2ea6850

48916560 has 160 divisors (see below), whose sum is σ = 189130752. Its totient is φ = 10160640.

The previous prime is 48916547. The next prime is 48916597. The reversal of 48916560 is 6561984.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17157 + ... + 19803.

Almost surely, 248916560 is an apocalyptic number.

48916560 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 48916560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94565376).

48916560 is an abundant number, since it is smaller than the sum of its proper divisors (140214192).

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

48916560 is a wasteful number, since it uses less digits than its factorization.

48916560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 48916560 is about 6994.0374605803. The cubic root of 48916560 is about 365.7227438287.

The spelling of 48916560 in words is "forty-eight million, nine hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 2647 3080 3696 4620 5294 6160 7941 9240 10588 13235 15882 18480 18529 21176 26470 29117 31764 37058 39705 42352 52940 55587 58234 63528 74116 79410 87351 92645 105880 111174 116468 127056 145585 148232 158820 174702 185290 203819 211760 222348 232936 277935 291170 296464 317640 349404 370580 407638 436755 444696 465872 555870 582340 611457 635280 698808 741160 815276 873510 889392 1019095 1111740 1164680 1222914 1397616 1482320 1630552 1747020 2038190 2223480 2329360 2445828 3057285 3261104 3494040 4076380 4446960 4891656 6114570 6988080 8152760 9783312 12229140 16305520 24458280 48916560