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813041550 = 23552611097
BaseRepresentation
bin110000011101100…
…000011110001110
32002122212210100000
4300131200132032
53131114312200
6212402145130
726101511346
oct6035403616
92078783300
10813041550
11387a39172
121a83521a6
13cc59ac99
1479da1d26
154b5a1300
hex3076078e

813041550 has 144 divisors (see below), whose sum is σ = 2304508752. Its totient is φ = 213062400.

The previous prime is 813041539. The next prime is 813041563. The reversal of 813041550 is 55140318.

813041550 is a `hidden beast` number, since 81 + 30 + 4 + 1 + 550 = 666.

It is a super-2 number, since 2×8130415502 = 1322073124052805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740602 + ... + 741698.

It is an arithmetic number, because the mean of its divisors is an integer number (16003533).

Almost surely, 2813041550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813041550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152254376).

813041550 is an abundant number, since it is smaller than the sum of its proper divisors (1491467202).

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

813041550 is a wasteful number, since it uses less digits than its factorization.

813041550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 813041550 is about 28513.8834605180. The cubic root of 813041550 is about 933.3350602292.

Adding to 813041550 its reverse (55140318), we get a palindrome (868181868).

The spelling of 813041550 in words is "eight hundred thirteen million, forty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 61 75 81 90 122 135 150 162 183 225 243 270 305 366 405 450 486 549 610 675 810 915 1097 1098 1215 1350 1525 1647 1830 2025 2194 2430 2745 3050 3291 3294 4050 4575 4941 5485 5490 6075 6582 8235 9150 9873 9882 10970 12150 13725 14823 16455 16470 19746 24705 27425 27450 29619 29646 32910 41175 49365 49410 54850 59238 66917 74115 82275 82350 88857 98730 123525 133834 148095 148230 164550 177714 200751 246825 247050 266571 296190 334585 370575 401502 444285 493650 533142 602253 669170 740475 741150 888570 1003755 1204506 1332855 1480950 1672925 1806759 2007510 2221425 2665710 3011265 3345850 3613518 4442850 5018775 5420277 6022530 6664275 9033795 10037550 10840554 13328550 15056325 16260831 18067590 27101385 30112650 32521662 45168975 54202770 81304155 90337950 135506925 162608310 271013850 406520775 813041550