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48985560 = 23345131163
BaseRepresentation
bin1011101011011…
…1010111011000
310102011201120000
42322313113120
5100020014220
64505533000
71133241021
oct272672730
9112151500
1048985560
1125718638
12144a4160
13a1c1750
146711c48
154479390
hex2eb75d8

48985560 has 160 divisors (see below), whose sum is σ = 177463440. Its totient is φ = 12047616.

The previous prime is 48985543. The next prime is 48985567. The reversal of 48985560 is 6558984.

48985560 is a `hidden beast` number, since 4 + 8 + 9 + 85 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48985567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41539 + ... + 42701.

Almost surely, 248985560 is an apocalyptic number.

48985560 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 48985560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88731720).

48985560 is an abundant number, since it is smaller than the sum of its proper divisors (128477880).

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

48985560 is a wasteful number, since it uses less digits than its factorization.

48985560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 48985560 is about 6998.9684954285. The cubic root of 48985560 is about 365.8946216378.

The spelling of 48985560 in words is "forty-eight million, nine hundred eighty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1163 1170 1404 1560 1620 1755 2106 2326 2340 2808 3240 3489 3510 4212 4652 4680 5265 5815 6978 7020 8424 9304 10467 10530 11630 13956 14040 15119 17445 20934 21060 23260 27912 30238 31401 34890 41868 42120 45357 46520 52335 60476 62802 69780 75595 83736 90714 94203 104670 120952 125604 136071 139560 151190 157005 181428 188406 209340 226785 251208 272142 302380 314010 362856 376812 408213 418680 453570 471015 544284 604760 628020 680355 753624 816426 907140 942030 1088568 1224639 1256040 1360710 1632852 1814280 1884060 2041065 2449278 2721420 3265704 3768120 4082130 4898556 5442840 6123195 8164260 9797112 12246390 16328520 24492780 48985560