| Base | Representation |
|---|---|
| bin | 11011101010101… |
| … | …111101001100000 |
| 3 | 1012100110022001000 |
| 4 | 123222233221200 |
| 5 | 1422313040143 |
| 6 | 114021112000 |
| 7 | 14334356520 |
| oct | 3352575140 |
| 9 | 1170408030 |
| 10 | 464190048 |
| 11 | 219028943 |
| 12 | 10b558600 |
| 13 | 7522778a |
| 14 | 45913680 |
| 15 | 2ab42bd3 |
| hex | 1baafa60 |
464190048 has 384 divisors, whose sum is σ = 1672151040. Its totient is φ = 122411520.
The previous prime is 464190047. The next prime is 464190073. The reversal of 464190048 is 840091464.
It is a happy number.
464190048 is a `hidden beast` number, since 4 + 641 + 9 + 0 + 0 + 4 + 8 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 464189994 and 464190021.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (464190047) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6537853 + ... + 6537923.
It is an arithmetic number, because the mean of its divisors is an integer number (4354560).
Almost surely, 2464190048 is an apocalyptic number.
464190048 is a gapful number since it is divisible by the number (48) 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 464190048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836075520).
464190048 is an abundant number, since it is smaller than the sum of its proper divisors (1207960992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
464190048 is a wasteful number, since it uses less digits than its factorization.
464190048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 167 (or 153 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 464190048 is about 21545.0701553743. The cubic root of 464190048 is about 774.2810108768.
The spelling of 464190048 in words is "four hundred sixty-four million, one hundred ninety thousand, forty-eight".
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