Base | Representation |
---|---|
bin | 1101100000101… |
… | …0100110000000 |
3 | 10221121221211010 |
4 | 3120022212000 |
5 | 104001311441 |
6 | 5342320520 |
7 | 1255441305 |
oct | 330124600 |
9 | 127557733 |
10 | 56666496 |
11 | 29a94417 |
12 | 16b89140 |
13 | b980893 |
14 | 77510ac |
15 | 4e95116 |
hex | 360a980 |
56666496 has 64 divisors (see below), whose sum is σ = 151567920. Its totient is φ = 18757632.
The previous prime is 56666473. The next prime is 56666497. The reversal of 56666496 is 69466665.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-4 number, since 4×566664964 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (56666497) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66006 + ... + 66858.
Almost surely, 256666496 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 56666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75783960).
56666496 is an abundant number, since it is smaller than the sum of its proper divisors (94901424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56666496 is a wasteful number, since it uses less digits than its factorization.
56666496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1043 (or 1031 counting only the distinct ones).
The product of its digits is 1399680, while the sum is 48.
The square root of 56666496 is about 7527.7151912117. The cubic root of 56666496 is about 384.0980652319.
The spelling of 56666496 in words is "fifty-six million, six hundred sixty-six thousand, four hundred ninety-six".
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