| Base | Representation |
|---|---|
| bin | 11011100001011… |
| … | …010101000000000 |
| 3 | 1012011212001120100 |
| 4 | 123201122220000 |
| 5 | 1421201312030 |
| 6 | 113452442400 |
| 7 | 14304523200 |
| oct | 3341325000 |
| 9 | 1164761510 |
| 10 | 461744640 |
| 11 | 217708645 |
| 12 | 10a779400 |
| 13 | 7487c6a6 |
| 14 | 45478400 |
| 15 | 2a80d360 |
| hex | 1b85aa00 |
461744640 has 360 divisors, whose sum is σ = 1864785780. Its totient is φ = 105283584.
The previous prime is 461744617. The next prime is 461744677. The reversal of 461744640 is 46447164.
461744640 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 4 + 4 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 13660416 = 21168^2 + 3696^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×4617446402 = 426416225137459200, which contains 22 as substring.
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 = 461744595 and 461744604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128756 + ... + 1129164.
Almost surely, 2461744640 is an apocalyptic number.
461744640 is a gapful number since it is divisible by the number (40) 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 461744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932392890).
461744640 is an abundant number, since it is smaller than the sum of its proper divisors (1403041140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
461744640 is a wasteful number, since it uses less digits than its factorization.
461744640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 452 (or 426 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 461744640 is about 21488.2442279494. The cubic root of 461744640 is about 772.9189482944.
The spelling of 461744640 in words is "four hundred sixty-one million, seven hundred forty-four thousand, six hundred forty".
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