Base | Representation |
---|---|
bin | 1110000100110… |
… | …1001100010100 |
3 | 11010002100202200 |
4 | 3201031030110 |
5 | 110103131221 |
6 | 5505204500 |
7 | 1314541614 |
oct | 341151424 |
9 | 133070680 |
10 | 59036436 |
11 | 30362a48 |
12 | 17930730 |
13 | c300504 |
14 | 7baaa44 |
15 | 52b2426 |
hex | 384d314 |
59036436 has 18 divisors (see below), whose sum is σ = 149231082. Its totient is φ = 19678800.
The previous prime is 59036413. The next prime is 59036437. The reversal of 59036436 is 63463095.
59036436 is a `hidden beast` number, since 5 + 9 + 0 + 3 + 643 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 29811600 + 29224836 = 5460^2 + 5406^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1639901 = 59036436 / (5 + 9 + 0 + 3 + 6 + 4 + 3 + 6).
It is a self number, because there is not a number n which added to its sum of digits gives 59036436.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (59036437) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819915 + ... + 819986.
Almost surely, 259036436 is an apocalyptic number.
It is an amenable number.
59036436 is an abundant number, since it is smaller than the sum of its proper divisors (90194646).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
59036436 is a wasteful number, since it uses less digits than its factorization.
59036436 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1639911 (or 1639906 counting only the distinct ones).
The product of its (nonzero) digits is 58320, while the sum is 36.
The square root of 59036436 is about 7683.5171633829. The cubic root of 59036436 is about 389.3797636371.
Adding to 59036436 its product of nonzero digits (58320), we get a triangular number (59094756 = T10871).
The spelling of 59036436 in words is "fifty-nine million, thirty-six thousand, four hundred thirty-six".
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