Base | Representation |
---|---|
bin | 1000101011110… |
… | …1101100000000 |
3 | 2112112202120100 |
4 | 2022331230000 |
5 | 33311203134 |
6 | 3340442400 |
7 | 621431445 |
oct | 212755400 |
9 | 75482510 |
10 | 36428544 |
11 | 19621339 |
12 | 10249400 |
13 | 7716069 |
14 | 4ba39cc |
15 | 32e8999 |
hex | 22bdb00 |
36428544 has 108 divisors (see below), whose sum is σ = 106766296. Its totient is φ = 11943936.
The previous prime is 36428537. The next prime is 36428549. The reversal of 36428544 is 44582463.
36428544 is a `hidden beast` number, since 3 + 642 + 8 + 5 + 4 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 36428499 and 36428508.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36428549) 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 11 ways as a sum of consecutive naturals, for example, 223407 + ... + 223569.
Almost surely, 236428544 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 36428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53383148).
36428544 is an abundant number, since it is smaller than the sum of its proper divisors (70337752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36428544 is a wasteful number, since it uses less digits than its factorization.
36428544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 282 (or 265 counting only the distinct ones).
The product of its digits is 92160, while the sum is 36.
The square root of 36428544 is about 6035.6063489926. The cubic root of 36428544 is about 331.4977648410.
The spelling of 36428544 in words is "thirty-six million, four hundred twenty-eight thousand, five hundred forty-four".
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