Base | Representation |
---|---|
bin | 11011000000111… |
… | …110101110000000 |
3 | 1011120212001202200 |
4 | 123000332232000 |
5 | 1412012213403 |
6 | 112550313200 |
7 | 14142330312 |
oct | 3300765600 |
9 | 1146761680 |
10 | 453241728 |
11 | 212930245 |
12 | 107958800 |
13 | 72b93394 |
14 | 442a37b2 |
15 | 29bcdca3 |
hex | 1b03eb80 |
453241728 has 96 divisors (see below), whose sum is σ = 1316797560. Its totient is φ = 149627904.
The previous prime is 453241699. The next prime is 453241741. The reversal of 453241728 is 827142354.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 453241692 and 453241701.
It is a congruent number.
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, 121426 + ... + 125102.
Almost surely, 2453241728 is an apocalyptic number.
453241728 is a gapful number since it is divisible by the number (48) 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 453241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658398780).
453241728 is an abundant number, since it is smaller than the sum of its proper divisors (863555832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
453241728 is a wasteful number, since it uses less digits than its factorization.
453241728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3804 (or 3789 counting only the distinct ones).
The product of its digits is 53760, while the sum is 36.
The square root of 453241728 is about 21289.4745825255. The cubic root of 453241728 is about 768.1451548551.
The spelling of 453241728 in words is "four hundred fifty-three million, two hundred forty-one thousand, seven hundred twenty-eight".
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