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498778056 = 233272373821
BaseRepresentation
bin11101101110101…
…011111111001000
31021202112112212100
4131232223333020
52010141344211
6121254313400
715234354300
oct3556537710
91252475770
10498778056
11236602377
1211b058860
137c447b5a
144a358600
152dbc6156
hex1dbabfc8

498778056 has 144 divisors (see below), whose sum is σ = 1614298140. Its totient is φ = 138620160.

The previous prime is 498778051. The next prime is 498778061. The reversal of 498778056 is 650877894.

498778056 is a `hidden beast` number, since 498 + 77 + 80 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (498778051) and next prime (498778061).

It can be written as a sum of positive squares in 2 ways, for example, as 401361156 + 97416900 = 20034^2 + 9870^2 .

It is a junction number, because it is equal to n+sod(n) for n = 498777993 and 498778011.

It is not an unprimeable number, because it can be changed into a prime (498778051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128626 + ... + 132446.

Almost surely, 2498778056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498778056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807149070).

498778056 is an abundant number, since it is smaller than the sum of its proper divisors (1115520084).

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

498778056 is a wasteful number, since it uses less digits than its factorization.

498778056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 498778056 is about 22333.3395621882. The cubic root of 498778056 is about 793.0534268212.

The spelling of 498778056 in words is "four hundred ninety-eight million, seven hundred seventy-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 666 777 882 888 1036 1176 1332 1554 1764 1813 2072 2331 2664 3108 3528 3626 3821 4662 5439 6216 7252 7642 9324 10878 11463 14504 15284 16317 18648 21756 22926 26747 30568 32634 34389 43512 45852 53494 65268 68778 80241 91704 106988 130536 137556 141377 160482 187229 213976 240723 275112 282754 320964 374458 424131 481446 561687 565508 641928 748916 848262 962892 989639 1123374 1131016 1272393 1497832 1685061 1696524 1925784 1979278 2246748 2544786 2968917 3370122 3393048 3958556 4493496 5089572 5937834 6740244 6927473 7917112 8906751 10179144 11875668 13480488 13854946 17813502 20782419 23751336 27709892 35627004 41564838 55419784 62347257 71254008 83129676 124694514 166259352 249389028 498778056