Base | Representation |
---|---|
bin | 1011001001110… |
… | …0011010010100 |
3 | 10021000120100200 |
4 | 2302130122110 |
5 | 43433344004 |
6 | 4350340500 |
7 | 1105415010 |
oct | 262343224 |
9 | 107016320 |
10 | 46778004 |
11 | 24450009 |
12 | 137ba730 |
13 | 98ca9c0 |
14 | 62d9540 |
15 | 4190239 |
hex | 2c9c694 |
46778004 has 144 divisors (see below), whose sum is σ = 147987840. Its totient is φ = 12130560.
The previous prime is 46778003. The next prime is 46778009. The reversal of 46778004 is 40087764.
It is a happy number.
It is a Smith number, since the sum of its digits (36) 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 (36).
It is a self number, because there is not a number n which added to its sum of digits gives 46778004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46778003) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357019 + ... + 357149.
Almost surely, 246778004 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 46778004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73993920).
46778004 is an abundant number, since it is smaller than the sum of its proper divisors (101209836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46778004 is a wasteful number, since it uses less digits than its factorization.
46778004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 270 (or 265 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 46778004 is about 6839.4447143025. Note that the first 3 decimals coincide. The cubic root of 46778004 is about 360.3135231704.
The spelling of 46778004 in words is "forty-six million, seven hundred seventy-eight thousand, four".
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