Base | Representation |
---|---|
bin | 1101010101110… |
… | …1011110000000 |
3 | 10220021221002102 |
4 | 3111131132000 |
5 | 103311114001 |
6 | 5315205532 |
7 | 1246426016 |
oct | 325353600 |
9 | 126257072 |
10 | 55957376 |
11 | 2964a672 |
12 | 168a68a8 |
13 | b792b97 |
14 | 76088b6 |
15 | 4da4e6b |
hex | 355d780 |
55957376 has 32 divisors (see below), whose sum is σ = 112326480. Its totient is φ = 27765760.
The previous prime is 55957373. The next prime is 55957379. The reversal of 55957376 is 67375955.
55957376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (55957373) and next prime (55957379).
It is a tau number, because it is divible by the number of its divisors (32).
It is a self number, because there is not a number n which added to its sum of digits gives 55957376.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55957373) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 15941 + ... + 19131.
Almost surely, 255957376 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 55957376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56163240).
55957376 is an abundant number, since it is smaller than the sum of its proper divisors (56369104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55957376 is a wasteful number, since it uses less digits than its factorization.
55957376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3342 (or 3330 counting only the distinct ones).
The product of its digits is 992250, while the sum is 47.
The square root of 55957376 is about 7480.4662956262. The cubic root of 55957376 is about 382.4891443229.
The spelling of 55957376 in words is "fifty-five million, nine hundred fifty-seven thousand, three hundred seventy-six".
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