Base | Representation |
---|---|
bin | 1000011100011… |
… | …0001000000000 |
3 | 2110122020121012 |
4 | 2013012020000 |
5 | 33031231103 |
6 | 3303020052 |
7 | 610006232 |
oct | 207061000 |
9 | 73566535 |
10 | 35414528 |
11 | 18a99506 |
12 | ba3a628 |
13 | 744c656 |
14 | 49bc252 |
15 | 31982d8 |
hex | 21c6200 |
35414528 has 30 divisors (see below), whose sum is σ = 71029959. Its totient is φ = 17639936.
The previous prime is 35414527. The next prime is 35414531. The reversal of 35414528 is 82541453.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 17707264 + 17707264 = 4208^2 + 4208^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=4208.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 35414494 and 35414503.
It is not an unprimeable number, because it can be changed into a prime (35414527) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 134525 + ... + 134787.
Almost surely, 235414528 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 35414528
35414528 is an abundant number, since it is smaller than the sum of its proper divisors (35615431).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35414528 is an frugal number, since it uses more digits than its factorization.
35414528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 544 (or 265 counting only the distinct ones).
The product of its digits is 19200, while the sum is 32.
The square root of 35414528 is about 5951.0106704660. The cubic root of 35414528 is about 328.3929456782.
Multiplying 35414528 by its sum of digits (32), we get a square (1133264896 = 336642).
35414528 divided by its sum of digits (32) gives a square (1106704 = 10522).
The spelling of 35414528 in words is "thirty-five million, four hundred fourteen thousand, five hundred twenty-eight".
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