Base | Representation |
---|---|
bin | 1010110101100… |
… | …1010011100000 |
3 | 10011112022221020 |
4 | 2231121103200 |
5 | 43114021220 |
6 | 4302125440 |
7 | 1061233404 |
oct | 255312340 |
9 | 104468836 |
10 | 45454560 |
11 | 23726758 |
12 | 13280880 |
13 | 95564b8 |
14 | 6073104 |
15 | 3ecd040 |
hex | 2b594e0 |
45454560 has 96 divisors (see below), whose sum is σ = 144117792. Its totient is φ = 12042240.
The previous prime is 45454547. The next prime is 45454567. The reversal of 45454560 is 6545454.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×454545602 = 4132234049587200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45454567) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134712 + ... + 135048.
It is an arithmetic number, because the mean of its divisors is an integer number (1501227).
Almost surely, 245454560 is an apocalyptic number.
45454560 is a gapful number since it is divisible by the number (40) 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 45454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72058896).
45454560 is an abundant number, since it is smaller than the sum of its proper divisors (98663232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45454560 is a wasteful number, since it uses less digits than its factorization.
45454560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 636 (or 628 counting only the distinct ones).
The product of its (nonzero) digits is 48000, while the sum is 33.
The square root of 45454560 is about 6741.9997033521. Note that the first 3 decimals coincide. The cubic root of 45454560 is about 356.8829658193.
The spelling of 45454560 in words is "forty-five million, four hundred fifty-four thousand, five hundred sixty".
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