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541641256 = 231319726437
BaseRepresentation
bin100000010010001…
…100101000101000
31101202012020010021
4200102030220220
52102130010011
6125425130224
716264606012
oct4022145050
91352166107
10541641256
11258819102
12131489974
13882a49b0
1451d151b2
1532841471
hex2048ca28

541641256 has 32 divisors (see below), whose sum is σ = 1099292040. Its totient is φ = 248709888.

The previous prime is 541641251. The next prime is 541641263. The reversal of 541641256 is 652146145.

It can be written as a sum of positive squares in 4 ways, for example, as 537776100 + 3865156 = 23190^2 + 1966^2 .

It is not an unprimeable number, because it can be changed into a prime (541641251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7270 + ... + 33706.

Almost surely, 2541641256 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 541641256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549646020).

541641256 is an abundant number, since it is smaller than the sum of its proper divisors (557650784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541641256 is a wasteful number, since it uses less digits than its factorization.

541641256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26653 (or 26649 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 541641256 is about 23273.1874911882. The cubic root of 541641256 is about 815.1494605890.

The spelling of 541641256 in words is "five hundred forty-one million, six hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 197 394 788 1576 2561 5122 10244 20488 26437 52874 105748 211496 343681 687362 1374724 2749448 5208089 10416178 20832356 41664712 67705157 135410314 270820628 541641256