Base | Representation |
---|---|
bin | 1011000100110… |
… | …1111000111100 |
3 | 10020102020011200 |
4 | 2301031320330 |
5 | 43343101010 |
6 | 4335415500 |
7 | 1102605225 |
oct | 261157074 |
9 | 106366150 |
10 | 46456380 |
11 | 24250403 |
12 | 13684590 |
13 | 98174a9 |
14 | 625424c |
15 | 4129cc0 |
hex | 2c4de3c |
46456380 has 72 divisors (see below), whose sum is σ = 143261664. Its totient is φ = 12182400.
The previous prime is 46456367. The next prime is 46456381. The reversal of 46456380 is 8365464.
46456380 is a `hidden beast` number, since 4 + 645 + 6 + 3 + 8 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46456381) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8865 + ... + 13095.
Almost surely, 246456380 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 46456380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71630832).
46456380 is an abundant number, since it is smaller than the sum of its proper divisors (96805284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46456380 is a wasteful number, since it uses less digits than its factorization.
46456380 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4307 (or 4302 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 46456380 is about 6815.8917244921. The cubic root of 46456380 is about 359.4858400892.
It can be divided in two parts, 4645 and 6380, that added together give a square (11025 = 1052).
The spelling of 46456380 in words is "forty-six million, four hundred fifty-six thousand, three hundred eighty".
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