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810029850 = 235271922137
BaseRepresentation
bin110000010010000…
…001001100011010
32002110012210001120
4300102001030122
53124331423400
6212213430110
726034066030
oct6022011432
92073183046
10810029850
11386271463
121a733b336
13cba85206
147981a550
154b1a8ca0
hex3048131a

810029850 has 144 divisors (see below), whose sum is σ = 2424184128. Its totient is φ = 175322880.

The previous prime is 810029849. The next prime is 810029879. The reversal of 810029850 is 58920018.

It is a happy number.

It is a super-2 number, since 2×8100298502 = 1312296715782045000, which contains 22 as substring.

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, 377982 + ... + 380118.

It is an arithmetic number, because the mean of its divisors is an integer number (16834612).

Almost surely, 2810029850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810029850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212092064).

810029850 is an abundant number, since it is smaller than the sum of its proper divisors (1614154278).

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

810029850 is a wasteful number, since it uses less digits than its factorization.

810029850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 810029850 is about 28461.0233477294. The cubic root of 810029850 is about 932.1812023727.

Adding to 810029850 its reverse (58920018), we get a palindrome (868949868).

It can be divided in two parts, 8100 and 29850, that added together give a triangular number (37950 = T275).

The spelling of 810029850 in words is "eight hundred ten million, twenty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 133 150 175 190 210 266 285 350 361 399 475 525 570 665 722 798 950 1050 1083 1330 1425 1805 1995 2137 2166 2527 2850 3325 3610 3990 4274 5054 5415 6411 6650 7581 9025 9975 10685 10830 12635 12822 14959 15162 18050 19950 21370 25270 27075 29918 32055 37905 40603 44877 53425 54150 63175 64110 74795 75810 81206 89754 106850 121809 126350 149590 160275 189525 203015 224385 243618 284221 320550 373975 379050 406030 448770 568442 609045 747950 771457 852663 1015075 1121925 1218090 1421105 1542914 1705326 2030150 2243850 2314371 2842210 3045225 3857285 4263315 4628742 5400199 6090450 7105525 7714570 8526630 10800398 11571855 14211050 16200597 19286425 21316575 23143710 27000995 32401194 38572850 42633150 54001990 57859275 81002985 115718550 135004975 162005970 270009950 405014925 810029850