Search a number
-
+
834871848 = 233233741997
BaseRepresentation
bin110001110000110…
…010001000101000
32011011221212212120
4301300302020220
53202211344343
6214502111240
726455202466
oct6160621050
92134855776
10834871848
11399299638
121b371b520
13103c72515
147cc45836
154d464683
hex31c32228

834871848 has 128 divisors (see below), whose sum is σ = 2293643520. Its totient is φ = 252426240.

The previous prime is 834871831. The next prime is 834871879. The reversal of 834871848 is 848178438.

It is a super-2 number, since 2×8348718482 = 1394022005165870208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 834871848.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 836886 + ... + 837882.

It is an arithmetic number, because the mean of its divisors is an integer number (17919090).

Almost surely, 2834871848 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 834871848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146821760).

834871848 is an abundant number, since it is smaller than the sum of its proper divisors (1458771672).

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

834871848 is a wasteful number, since it uses less digits than its factorization.

834871848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1103 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 834871848 is about 28894.1490270954. The cubic root of 834871848 is about 941.6147919458.

The spelling of 834871848 in words is "eight hundred thirty-four million, eight hundred seventy-one thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 37 41 46 69 74 82 92 111 123 138 148 164 184 222 246 276 296 328 444 492 552 851 888 943 984 997 1517 1702 1886 1994 2553 2829 2991 3034 3404 3772 3988 4551 5106 5658 5982 6068 6808 7544 7976 9102 10212 11316 11964 12136 18204 20424 22632 22931 23928 34891 36408 36889 40877 45862 68793 69782 73778 81754 91724 104673 110667 122631 137586 139564 147556 163508 183448 209346 221334 245262 275172 279128 295112 327016 418692 442668 490524 550344 837384 848447 885336 940171 981048 1512449 1696894 1880342 2545341 2820513 3024898 3393788 3760684 4537347 5090682 5641026 6049796 6787576 7521368 9074694 10181364 11282052 12099592 18149388 20362728 22564104 34786327 36298776 69572654 104358981 139145308 208717962 278290616 417435924 834871848