Search a number
-
+
168044832 = 2532737993
BaseRepresentation
bin10100000010000…
…10100100100000
3102201012120011200
422001002210200
5321004413312
624401441200
74110233424
oct1201024440
9381176150
10168044832
118694762a
1248340200
1328a79417
1418464b84
15eb460dc
hexa042920

168044832 has 72 divisors (see below), whose sum is σ = 484484364. Its totient is φ = 55240704.

The previous prime is 168044827. The next prime is 168044839. The reversal of 168044832 is 238440861.

It can be written as a sum of positive squares in 2 ways, for example, as 160883856 + 7160976 = 12684^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (168044839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17028 + ... + 25020.

Almost surely, 2168044832 is an apocalyptic number.

168044832 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 168044832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242242182).

168044832 is an abundant number, since it is smaller than the sum of its proper divisors (316439532).

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

168044832 is a wasteful number, since it uses less digits than its factorization.

168044832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 168044832 is about 12963.2107133997. The cubic root of 168044832 is about 551.8339134857.

The spelling of 168044832 in words is "one hundred sixty-eight million, forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 7993 10512 15986 21024 23979 31972 47958 63944 71937 95916 127888 143874 191832 255776 287748 383664 575496 583489 767328 1150992 1166978 1750467 2301984 2333956 3500934 4667912 5251401 7001868 9335824 10502802 14003736 18671648 21005604 28007472 42011208 56014944 84022416 168044832