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812404242 = 234131979257
BaseRepresentation
bin110000011011000…
…100111000010010
32002121200102010000
4300123010320102
53130433413432
6212340350430
726063215326
oct6033047022
92077612100
10812404242
11387643371
121a80a5416
13cc406b90
1479c77986
154b4c757c
hex306c4e12

812404242 has 160 divisors (see below), whose sum is σ = 2097849600. Its totient is φ = 232906752.

The previous prime is 812404237. The next prime is 812404303. The reversal of 812404242 is 242404218.

812404242 is a `hidden beast` number, since 8 + 12 + 404 + 242 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3160978 + ... + 3161234.

It is an arithmetic number, because the mean of its divisors is an integer number (13111560).

Almost surely, 2812404242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812404242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048924800).

812404242 is an abundant number, since it is smaller than the sum of its proper divisors (1285445358).

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

812404242 is a wasteful number, since it uses less digits than its factorization.

812404242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 812404242 is about 28502.7058715484. The cubic root of 812404242 is about 933.0911295278.

The spelling of 812404242 in words is "eight hundred twelve million, four hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 79 81 114 117 158 162 171 234 237 247 257 342 351 474 494 513 514 702 711 741 771 1026 1027 1053 1422 1482 1501 1539 1542 2054 2106 2133 2223 2313 3002 3078 3081 3341 4266 4446 4503 4626 4883 6162 6399 6669 6682 6939 9006 9243 9766 10023 12798 13338 13509 13878 14649 18486 19513 20007 20046 20303 20817 27018 27729 29298 30069 39026 40014 40527 40606 41634 43947 55458 58539 60138 60909 63479 81054 83187 87894 90207 117078 121581 121818 126958 131841 166374 175617 180414 182727 190437 243162 263682 263939 270621 351234 365454 380874 385757 395523 526851 527878 541242 548181 571311 771514 791046 791817 1053702 1096362 1142622 1157271 1580553 1583634 1644543 1713933 2314542 2375451 3161106 3289086 3427866 3471813 4750902 5014841 5141799 6943626 7126353 10029682 10283598 10415439 14252706 15044523 20830878 21379059 30089046 31246317 42758118 45133569 62492634 90267138 135400707 270801414 406202121 812404242