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242651472 = 243717231847
BaseRepresentation
bin11100111011010…
…01000101010000
3121220120222020120
432131221011100
5444104321342
640024510240
76004334460
oct1635510520
9556528216
10242651472
11114a74708
126931b380
133b36b96b
1424325ba0
1516481aec
hexe769150

242651472 has 160 divisors (see below), whose sum is σ = 791949312. Its totient is φ = 62380032.

The previous prime is 242651467. The next prime is 242651531. The reversal of 242651472 is 274156242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130453 + ... + 132299.

Almost surely, 2242651472 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 242651472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395974656).

242651472 is an abundant number, since it is smaller than the sum of its proper divisors (549297840).

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

242651472 is a wasteful number, since it uses less digits than its factorization.

242651472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1899 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 242651472 is about 15577.2742159853. The cubic root of 242651472 is about 623.7266636517.

The spelling of 242651472 in words is "two hundred forty-two million, six hundred fifty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 272 276 322 336 357 368 391 408 476 483 552 644 714 782 816 952 966 1104 1173 1288 1428 1564 1847 1904 1932 2346 2576 2737 2856 3128 3694 3864 4692 5474 5541 5712 6256 7388 7728 8211 9384 10948 11082 12929 14776 16422 18768 21896 22164 25858 29552 31399 32844 38787 42481 43792 44328 51716 62798 65688 77574 84962 88656 94197 103432 125596 127443 131376 155148 169924 188394 206864 219793 251192 254886 297367 310296 339848 376788 439586 502384 509772 594734 620592 659379 679696 722177 753576 879172 892101 1019544 1189468 1318758 1444354 1507152 1758344 1784202 2039088 2166531 2378936 2637516 2888708 3516688 3568404 4333062 4757872 5055239 5275032 5777416 7136808 8666124 10110478 10550064 11554832 14273616 15165717 17332248 20220956 30331434 34664496 40441912 60662868 80883824 121325736 242651472