Search a number
-
+
168353472 = 2637229547
BaseRepresentation
bin10100000100011…
…01111011000000
3102201210020112210
422002031323000
5321044302342
624412222120
74112660310
oct1202157300
9381706483
10168353472
1187038501
124846a940
1328b56a51
1418505440
15eba779c
hexa08dec0

168353472 has 112 divisors (see below), whose sum is σ = 512226560. Its totient is φ = 47803392.

The previous prime is 168353459. The next prime is 168353477. The reversal of 168353472 is 274353861.

168353472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 168353472.

It is not an unprimeable number, because it can be changed into a prime (168353477) 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 15 ways as a sum of consecutive naturals, for example, 307503 + ... + 308049.

Almost surely, 2168353472 is an apocalyptic number.

168353472 is a gapful number since it is divisible by the number (12) 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 168353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256113280).

168353472 is an abundant number, since it is smaller than the sum of its proper divisors (343873088).

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

168353472 is a wasteful number, since it uses less digits than its factorization.

168353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 168353472 is about 12975.1097105188. The cubic root of 168353472 is about 552.1715492853.

It can be divided in two parts, 1683 and 53472, that added together give a palindrome (55155).

The spelling of 168353472 in words is "one hundred sixty-eight million, three hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 229 336 448 458 547 672 687 916 1094 1344 1374 1603 1641 1832 2188 2748 3206 3282 3664 3829 4376 4809 5496 6412 6564 7328 7658 8752 9618 10992 11487 12824 13128 14656 15316 17504 19236 21984 22974 25648 26256 30632 35008 38472 43968 45948 51296 52512 61264 76944 91896 102592 105024 122528 125263 153888 183792 245056 250526 307776 367584 375789 501052 735168 751578 876841 1002104 1503156 1753682 2004208 2630523 3006312 3507364 4008416 5261046 6012624 7014728 8016832 10522092 12025248 14029456 21044184 24050496 28058912 42088368 56117824 84176736 168353472