Search a number
-
+
171438848 = 287279173
BaseRepresentation
bin10100011011111…
…11001100000000
3102221120222212222
422031333030000
5322342020343
625002310212
74151130500
oct1215771400
9387528788
10171438848
11888555a9
12494b8368
1329697209
1418aa9a00
15100b6a68
hexa37f300

171438848 has 108 divisors (see below), whose sum is σ = 405447840. Its totient is φ = 72124416.

The previous prime is 171438823. The next prime is 171438851. The reversal of 171438848 is 848834171.

It is a junction number, because it is equal to n+sod(n) for n = 171438799 and 171438808.

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 11 ways as a sum of consecutive naturals, for example, 990890 + ... + 991062.

Almost surely, 2171438848 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 171438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202723920).

171438848 is an abundant number, since it is smaller than the sum of its proper divisors (234008992).

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

171438848 is an equidigital number, since it uses as much as digits as its factorization.

171438848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its digits is 172032, while the sum is 44.

The square root of 171438848 is about 13093.4658513321. The cubic root of 171438848 is about 555.5243244547.

The spelling of 171438848 in words is "one hundred seventy-one million, four hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 128 158 173 196 224 256 316 346 392 448 553 632 692 784 896 1106 1211 1264 1384 1568 1792 2212 2422 2528 2768 3136 3871 4424 4844 5056 5536 6272 7742 8477 8848 9688 10112 11072 12544 13667 15484 16954 17696 19376 20224 22144 27334 30968 33908 35392 38752 44288 54668 61936 67816 70784 77504 95669 109336 123872 135632 141568 155008 191338 218672 247744 271264 310016 382676 437344 495488 542528 669683 765352 874688 990976 1085056 1339366 1530704 1749376 2170112 2678732 3061408 3498752 5357464 6122816 10714928 12245632 21429856 24491264 42859712 85719424 171438848