Base | Representation |
---|---|
bin | 11011111001001… |
… | …011101000000000 |
3 | 1012121120120112200 |
4 | 123321023220000 |
5 | 1424300142111 |
6 | 114234153200 |
7 | 14411501412 |
oct | 3371135000 |
9 | 1177516480 |
10 | 467974656 |
11 | 220183316 |
12 | 110882800 |
13 | 75c512a6 |
14 | 4621a9b2 |
15 | 2b13e256 |
hex | 1be4ba00 |
467974656 has 120 divisors (see below), whose sum is σ = 1384106724. Its totient is φ = 152125440.
The previous prime is 467974651. The next prime is 467974681. The reversal of 467974656 is 656479764.
467974656 is a `hidden beast` number, since 467 + 97 + 46 + 56 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 431974656 + 36000000 = 20784^2 + 6000^2 .
It is not an unprimeable number, because it can be changed into a prime (467974651) 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 11 ways as a sum of consecutive naturals, for example, 187690 + ... + 190166.
Almost surely, 2467974656 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 467974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692053362).
467974656 is an abundant number, since it is smaller than the sum of its proper divisors (916132068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
467974656 is a wasteful number, since it uses less digits than its factorization.
467974656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2542 (or 2523 counting only the distinct ones).
The product of its digits is 7620480, while the sum is 54.
The square root of 467974656 is about 21632.7218814462. The cubic root of 467974656 is about 776.3795925126.
The spelling of 467974656 in words is "four hundred sixty-seven million, nine hundred seventy-four thousand, six hundred fifty-six".
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