Base | Representation |
---|---|
bin | 1011001001101… |
… | …0011110000000 |
3 | 10021000011110000 |
4 | 2302122132000 |
5 | 43433120143 |
6 | 4350240000 |
7 | 1105352553 |
oct | 262323600 |
9 | 107004400 |
10 | 46770048 |
11 | 24445036 |
12 | 137b6000 |
13 | 98c71b0 |
14 | 62d669a |
15 | 418cbd3 |
hex | 2c9a780 |
46770048 has 160 divisors (see below), whose sum is σ = 150325560. Its totient is φ = 14349312.
The previous prime is 46770023. The next prime is 46770071. The reversal of 46770048 is 84007764.
It is a happy number.
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 = 46769994 and 46770021.
It is a congruent number.
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 19 ways as a sum of consecutive naturals, for example, 134611 + ... + 134957.
Almost surely, 246770048 is an apocalyptic number.
46770048 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 46770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75162780).
46770048 is an abundant number, since it is smaller than the sum of its proper divisors (103555512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46770048 is a wasteful number, since it uses less digits than its factorization.
46770048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 365 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 46770048 is about 6838.8630634046. The cubic root of 46770048 is about 360.2930946450.
The spelling of 46770048 in words is "forty-six million, seven hundred seventy thousand, forty-eight".
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