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248485860 = 22335729391
BaseRepresentation
bin11101100111110…
…01011111100100
3122022120101112000
432303321133210
51002103021420
640353525300
76105044400
oct1663713744
9568511460
10248485860
1111829a117
126b273830
133c63246c
1425004100
1516c35690
hexecf97e4

248485860 has 144 divisors (see below), whose sum is σ = 899377920. Its totient is φ = 56790720.

The previous prime is 248485849. The next prime is 248485877. The reversal of 248485860 is 68584842.

248485860 is a `hidden beast` number, since 24 + 8 + 48 + 586 + 0 = 666.

248485860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 21765 + ... + 31155.

It is an arithmetic number, because the mean of its divisors is an integer number (6245680).

Almost surely, 2248485860 is an apocalyptic number.

248485860 is a gapful number since it is divisible by the number (20) 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 248485860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449688960).

248485860 is an abundant number, since it is smaller than the sum of its proper divisors (650892060).

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

248485860 is a wasteful number, since it uses less digits than its factorization.

248485860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 248485860 is about 15763.4342704881. The cubic root of 248485860 is about 628.6861507940.

The spelling of 248485860 in words is "two hundred forty-eight million, four hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 9391 13230 18782 26460 28173 37564 46955 56346 65737 84519 93910 112692 131474 140865 169038 187820 197211 253557 262948 281730 328685 338076 394422 422595 460159 507114 563460 591633 657370 788844 845190 920318 986055 1014228 1183266 1267785 1314740 1380477 1690380 1774899 1840636 1972110 2300795 2366532 2535570 2760954 2958165 3549798 3944220 4141431 4601590 5071140 5521908 5916330 6902385 7099596 8282862 8874495 9203180 11832660 12424293 13804770 16565724 17748990 20707155 24848586 27609540 35497980 41414310 49697172 62121465 82828620 124242930 248485860