Base | Representation |
---|---|
bin | 1011001100101… |
… | …1000010011000 |
3 | 10021101021100000 |
4 | 2303023002120 |
5 | 44011001414 |
6 | 4354413000 |
7 | 1110141546 |
oct | 263130230 |
9 | 107337300 |
10 | 46968984 |
11 | 24570547 |
12 | 13891160 |
13 | 99668ca |
14 | 6348d96 |
15 | 41cbb09 |
hex | 2ccb098 |
46968984 has 96 divisors (see below), whose sum is σ = 135691920. Its totient is φ = 15209856.
The previous prime is 46968983. The next prime is 46968989. The reversal of 46968984 is 48986964.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 46968984.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46968983) 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 23 ways as a sum of consecutive naturals, for example, 71602 + ... + 72254.
Almost surely, 246968984 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 46968984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67845960).
46968984 is an abundant number, since it is smaller than the sum of its proper divisors (88722936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46968984 is a wasteful number, since it uses less digits than its factorization.
46968984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 711 (or 695 counting only the distinct ones).
The product of its digits is 2985984, while the sum is 54.
The square root of 46968984 is about 6853.3921527956. The cubic root of 46968984 is about 360.8032066093.
The spelling of 46968984 in words is "forty-six million, nine hundred sixty-eight thousand, nine hundred eighty-four".
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