| Base | Representation |
|---|---|
| bin | 11011001100000… |
| … | …000010001011100 |
| 3 | 1011210021220000210 |
| 4 | 123030000101130 |
| 5 | 1413232203201 |
| 6 | 113132252420 |
| 7 | 14206024650 |
| oct | 3314002134 |
| 9 | 1153256023 |
| 10 | 456131676 |
| 11 | 214524530 |
| 12 | 108911110 |
| 13 | 73665900 |
| 14 | 44816a60 |
| 15 | 2a0a01d6 |
| hex | 1b30045c |
456131676 has 288 divisors, whose sum is σ = 1511129088. Its totient is φ = 103783680.
The previous prime is 456131639. The next prime is 456131677. The reversal of 456131676 is 676131654.
It is a super-2 number, since 2×4561316762 = 416112211701137952, which contains 22 as substring.
It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (456131677) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 3591525 + ... + 3591651.
It is an arithmetic number, because the mean of its divisors is an integer number (5246976).
Almost surely, 2456131676 is an apocalyptic number.
456131676 is a gapful number since it is divisible by the number (46) 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 456131676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755564544).
456131676 is an abundant number, since it is smaller than the sum of its proper divisors (1054997412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
456131676 is a wasteful number, since it uses less digits than its factorization.
456131676 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 186 counting only the distinct ones).
The product of its digits is 90720, while the sum is 39.
The square root of 456131676 is about 21357.2394283531. The cubic root of 456131676 is about 769.7743061480.
The spelling of 456131676 in words is "four hundred fifty-six million, one hundred thirty-one thousand, six hundred seventy-six".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •