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238291482 = 231113172312
BaseRepresentation
bin11100011010000…
…00101000011010
3121121101110110110
432031000220122
5442000311412
635351225150
75622305232
oct1615005032
9547343413
10238291482
11112566a10
12679781b6
133a4a32a0
142390ccc2
1515dbed3c
hexe340a1a

238291482 has 144 divisors (see below), whose sum is σ = 614579616. Its totient is φ = 60710400.

The previous prime is 238291481. The next prime is 238291517. The reversal of 238291482 is 284192832.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 238291482.

It is not an unprimeable number, because it can be changed into a prime (238291481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7686807 + ... + 7686837.

It is an arithmetic number, because the mean of its divisors is an integer number (4267914).

Almost surely, 2238291482 is an apocalyptic number.

238291482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 238291482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307289808).

238291482 is an abundant number, since it is smaller than the sum of its proper divisors (376288134).

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

238291482 is a wasteful number, since it uses less digits than its factorization.

238291482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 238291482 is about 15436.6927157342. The cubic root of 238291482 is about 619.9683317158.

The spelling of 238291482 in words is "two hundred thirty-eight million, two hundred ninety-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 13 17 22 26 31 33 34 39 51 62 66 78 93 102 143 186 187 221 286 289 341 374 403 429 442 527 561 578 663 682 806 858 867 961 1023 1054 1122 1209 1326 1581 1734 1922 2046 2418 2431 2883 3162 3179 3757 4433 4862 5766 5797 6358 6851 7293 7514 8866 8959 9537 10571 11271 11594 12493 13299 13702 14586 16337 17391 17918 19074 20553 21142 22542 24986 26598 26877 31713 32674 34782 37479 41106 41327 49011 53754 63426 74958 75361 82654 98022 98549 116467 123981 137423 150722 179707 197098 212381 226083 232934 247962 274846 277729 295647 349401 359414 412269 424762 452166 539121 555458 591294 637143 698802 824538 833187 1078242 1274286 1281137 1666374 2336191 2562274 3055019 3610477 3843411 4672382 6110038 7008573 7220954 7686822 9165057 10831431 14017146 18330114 21662862 39715247 79430494 119145741 238291482