Base | Representation |
---|---|
bin | 11110100011101100000000 |
3 | 120001222100001 |
4 | 132203230000 |
5 | 4022313441 |
6 | 443405344 |
7 | 125042134 |
oct | 36435400 |
9 | 16058301 |
10 | 8010496 |
11 | 458144a |
12 | 2823854 |
13 | 1876150 |
14 | 10c73c4 |
15 | a83731 |
hex | 7a3b00 |
8010496 has 72 divisors (see below), whose sum is σ = 18028080. Its totient is φ = 3526656.
The previous prime is 8010487. The next prime is 8010503. The reversal of 8010496 is 6940108.
8010496 = T111 + T112 + ... + T366.
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96471 + ... + 96553.
It is an arithmetic number, because the mean of its divisors is an integer number (250390).
Almost surely, 28010496 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014040).
8010496 is an abundant number, since it is smaller than the sum of its proper divisors (10017584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8010496 is a wasteful number, since it uses less digits than its factorization.
8010496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 141 (or 127 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 28.
The square root of 8010496 is about 2830.2819647519. The cubic root of 8010496 is about 200.0874284424.
It can be divided in two parts, 80104 and 96, that added together give a triangular number (80200 = T400).
The spelling of 8010496 in words is "eight million, ten thousand, four hundred ninety-six".
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