| Base | Representation |
|---|---|
| bin | 11110001010110… |
| … | …011100011000000 |
| 3 | 1022021102000222100 |
| 4 | 132022303203000 |
| 5 | 2014033232211 |
| 6 | 122120310400 |
| 7 | 15354124140 |
| oct | 3612634300 |
| 9 | 1267360870 |
| 10 | 506149056 |
| 11 | 23a787306 |
| 12 | 121612400 |
| 13 | 80b28baa |
| 14 | 4b316920 |
| 15 | 2e680156 |
| hex | 1e2b38c0 |
506149056 has 168 divisors, whose sum is σ = 1745569280. Its totient is φ = 136982016.
The previous prime is 506149043. The next prime is 506149057. The reversal of 506149056 is 650941605.
506149056 is a `hidden beast` number, since 506 + 14 + 90 + 56 = 666.
It is a tau number, because it is divible by the number of its divisors (168).
It is a super-2 number, since 2×5061490562 = 512373733779382272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 506149056.
It is not an unprimeable number, because it can be changed into a prime (506149057) 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 23 ways as a sum of consecutive naturals, for example, 73305 + ... + 79911.
Almost surely, 2506149056 is an apocalyptic number.
506149056 is a gapful number since it is divisible by the number (56) 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 506149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872784640).
506149056 is an abundant number, since it is smaller than the sum of its proper divisors (1239420224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
506149056 is a wasteful number, since it uses less digits than its factorization.
506149056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6651 (or 6638 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
The square root of 506149056 is about 22497.7566881678. The cubic root of 506149056 is about 796.9409510168.
The spelling of 506149056 in words is "five hundred six million, one hundred forty-nine thousand, fifty-six".
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