Base | Representation |
---|---|
bin | 1011001100110… |
… | …0100010000000 |
3 | 10021101120201200 |
4 | 2303030202000 |
5 | 44011200404 |
6 | 4354501200 |
7 | 1110165441 |
oct | 263144200 |
9 | 107346650 |
10 | 46975104 |
11 | 24575100 |
12 | 13894800 |
13 | 9969627 |
14 | 634b2c8 |
15 | 41cd839 |
hex | 2ccc880 |
46975104 has 144 divisors (see below), whose sum is σ = 149022510. Its totient is φ = 14192640.
The previous prime is 46975073. The next prime is 46975129. The reversal of 46975104 is 40157964.
It can be written as a sum of positive squares in only one way, i.e., 43560000 + 3415104 = 6600^2 + 1848^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139224 + ... + 139560.
Almost surely, 246975104 is an apocalyptic number.
46975104 is a gapful number since it is divisible by the number (44) 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 46975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511255).
46975104 is an abundant number, since it is smaller than the sum of its proper divisors (102047406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46975104 is a wasteful number, since it uses less digits than its factorization.
46975104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 379 (or 353 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 46975104 is about 6853.8386324745. The cubic root of 46975104 is about 360.8188766646.
It can be divided in two parts, 4697 and 5104, that added together give a square (9801 = 992).
The spelling of 46975104 in words is "forty-six million, nine hundred seventy-five thousand, one hundred four".
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