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148041348 = 2237213107181
BaseRepresentation
bin10001101001011…
…10111010000100
3101022120021112220
420310232322010
5300344310343
622405012340
73445221300
oct1064567204
9338507486
10148041348
1176624724
12416b40b0
1324894540
1415938d00
15cee4183
hex8d2ee84

148041348 has 144 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 38465280.

The previous prime is 148041347. The next prime is 148041353. The reversal of 148041348 is 843140841.

It is a super-3 number, since 3×1480413483 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148041343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 817818 + ... + 817998.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 2148041348 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 148041348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

148041348 is an abundant number, since it is smaller than the sum of its proper divisors (291152316).

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

148041348 is a wasteful number, since it uses less digits than its factorization.

148041348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 148041348 is about 12167.2243342514. The cubic root of 148041348 is about 529.0065024221.

The spelling of 148041348 in words is "one hundred forty-eight million, forty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 107 147 156 181 182 196 214 273 294 321 362 364 428 543 546 588 637 642 724 749 1086 1092 1267 1274 1284 1391 1498 1911 2172 2247 2353 2534 2548 2782 2996 3801 3822 4173 4494 4706 5068 5243 5564 7059 7602 7644 8346 8869 8988 9412 9737 10486 14118 15204 15729 16471 16692 17738 19367 19474 20972 26607 28236 29211 31458 32942 35476 38734 38948 49413 53214 58101 58422 62916 65884 68159 77468 98826 106428 115297 116202 116844 135569 136318 197652 204477 230594 232404 251771 271138 272636 345891 406707 408954 461188 503542 542276 691782 755313 813414 817908 948983 1007084 1383564 1510626 1626828 1762397 1897966 2846949 3021252 3524794 3795932 5287191 5693898 7049588 10574382 11387796 12336779 21148764 24673558 37010337 49347116 74020674 148041348