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168801444 = 22327669847
BaseRepresentation
bin10100000111110…
…11010010100100
3102202122000001100
422003323102210
5321203121234
624430000100
74116534330
oct1203732244
9382560040
10168801444
1187314029
1248646030
1328c82916
14185c07c0
15ec45399
hexa0fb4a4

168801444 has 36 divisors (see below), whose sum is σ = 487649344. Its totient is φ = 48228912.

The previous prime is 168801443. The next prime is 168801473. The reversal of 168801444 is 444108861.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 168801399 and 168801408.

It is not an unprimeable number, because it can be changed into a prime (168801443) by changing a digit.

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, 334672 + ... + 335175.

Almost surely, 2168801444 is an apocalyptic number.

168801444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

168801444 is an abundant number, since it is smaller than the sum of its proper divisors (318847900).

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

168801444 is a wasteful number, since it uses less digits than its factorization.

168801444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669864 (or 669859 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 168801444 is about 12992.3609863643. The cubic root of 168801444 is about 552.6608735549.

The spelling of 168801444 in words is "one hundred sixty-eight million, eight hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 669847 1339694 2009541 2679388 4019082 4688929 6028623 8038164 9377858 12057246 14066787 18755716 24114492 28133574 42200361 56267148 84400722 168801444