Base | Representation |
---|---|
bin | 1101001101011… |
… | …1001101100000 |
3 | 10212020222202000 |
4 | 3103113031200 |
5 | 103141014311 |
6 | 5255324000 |
7 | 1241645526 |
oct | 323271540 |
9 | 125228660 |
10 | 55407456 |
11 | 29304495 |
12 | 16680600 |
13 | b62c7a0 |
14 | 7504316 |
15 | 4ce7056 |
hex | 34d7360 |
55407456 has 96 divisors (see below), whose sum is σ = 174071520. Its totient is φ = 17044992.
The previous prime is 55407413. The next prime is 55407503. The reversal of 55407456 is 65470455.
It is a happy number.
55407456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
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 55407456.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8766 + ... + 13698.
It is an arithmetic number, because the mean of its divisors is an integer number (1813245).
Almost surely, 255407456 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 55407456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87035760).
55407456 is an abundant number, since it is smaller than the sum of its proper divisors (118664064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55407456 is a wasteful number, since it uses less digits than its factorization.
55407456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4965 (or 4951 counting only the distinct ones).
The product of its (nonzero) digits is 84000, while the sum is 36.
The square root of 55407456 is about 7443.6184749086. The cubic root of 55407456 is about 381.2320491055.
It can be divided in two parts, 5540 and 7456, that added together give a square (12996 = 1142).
The spelling of 55407456 in words is "fifty-five million, four hundred seven thousand, four hundred fifty-six".
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