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148871856 = 24371767389
BaseRepresentation
bin10001101111110…
…01101010110000
3101101010110210110
420313321222300
5301102344411
622434501320
73455250510
oct1067715260
9341113713
10148871856
11770416a1
1241a34840
1324ac5573
1415ab3840
15d10a2a6
hex8df9ab0

148871856 has 160 divisors (see below), whose sum is σ = 473541120. Its totient is φ = 39333888.

The previous prime is 148871851. The next prime is 148871869. The reversal of 148871856 is 658178841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148871851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382510 + ... + 382898.

It is an arithmetic number, because the mean of its divisors is an integer number (2959632).

Almost surely, 2148871856 is an apocalyptic number.

148871856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148871856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

148871856 is an abundant number, since it is smaller than the sum of its proper divisors (324669264).

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

148871856 is a wasteful number, since it uses less digits than its factorization.

148871856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The square root of 148871856 is about 12201.3055039205. The cubic root of 148871856 is about 529.9938957408.

The spelling of 148871856 in words is "one hundred forty-eight million, eight hundred seventy-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 67 68 84 102 112 119 134 136 168 201 204 238 268 272 336 357 389 402 408 469 476 536 714 778 804 816 938 952 1072 1139 1167 1407 1428 1556 1608 1876 1904 2278 2334 2723 2814 2856 3112 3216 3417 3752 4556 4668 5446 5628 5712 6224 6613 6834 7504 7973 8169 9112 9336 10892 11256 13226 13668 15946 16338 18224 18672 19839 21784 22512 23919 26063 26452 27336 31892 32676 39678 43568 46291 47838 52126 52904 54672 63784 65352 78189 79356 92582 95676 104252 105808 127568 130704 138873 156378 158712 182441 185164 191352 208504 277746 312756 317424 364882 370328 382704 417008 443071 547323 555492 625512 729764 740656 886142 1094646 1110984 1251024 1329213 1459528 1772284 2189292 2221968 2658426 2919056 3101497 3544568 4378584 5316852 6202994 7089136 8757168 9304491 10633704 12405988 18608982 21267408 24811976 37217964 49623952 74435928 148871856