Base | Representation |
---|---|
bin | 10100000100111… |
… | …11110111000000 |
3 | 102201220222022222 |
4 | 22002133313000 |
5 | 321104130234 |
6 | 24413550212 |
7 | 4113414440 |
oct | 1202376700 |
9 | 381828288 |
10 | 168426944 |
11 | 87088724 |
12 | 484a5368 |
13 | 28b8131a |
14 | 18524120 |
15 | ebbe42e |
hex | a09fdc0 |
168426944 has 112 divisors (see below), whose sum is σ = 411601920. Its totient is φ = 66769920.
The previous prime is 168426941. The next prime is 168426959. The reversal of 168426944 is 449624861.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-3 number, since 3×1684269443 (a number of 26 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 168426895 and 168426904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (168426941) 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 15 ways as a sum of consecutive naturals, for example, 399854 + ... + 400274.
Almost surely, 2168426944 is an apocalyptic number.
168426944 is a gapful number since it is divisible by the number (14) 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 168426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205800960).
168426944 is an abundant number, since it is smaller than the sum of its proper divisors (243174976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168426944 is a wasteful number, since it uses less digits than its factorization.
168426944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 506 (or 496 counting only the distinct ones).
The product of its digits is 331776, while the sum is 44.
The square root of 168426944 is about 12977.9406686885. The cubic root of 168426944 is about 552.2518629399.
It can be divided in two parts, 1684 and 26944, that multiplied together give a square (45373696 = 67362).
The spelling of 168426944 in words is "one hundred sixty-eight million, four hundred twenty-six thousand, nine hundred forty-four".
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