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541606820 = 22557746933
BaseRepresentation
bin100000010010000…
…100001110100100
31101202010110212212
4200102010032210
52102122404240
6125424302552
716264403426
oct4022041644
91352113785
10541606820
112587a5247
12131471a58
1388292111
1451d06816
1532836165
hex204843a4

541606820 has 24 divisors (see below), whose sum is σ = 1139369784. Its totient is φ = 216262656.

The previous prime is 541606753. The next prime is 541606831. The reversal of 541606820 is 28606145.

It can be written as a sum of positive squares in 4 ways, for example, as 72624484 + 468982336 = 8522^2 + 21656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11927 + ... + 35006.

It is an arithmetic number, because the mean of its divisors is an integer number (47473741).

Almost surely, 2541606820 is an apocalyptic number.

It is an amenable number.

541606820 is an abundant number, since it is smaller than the sum of its proper divisors (597762964).

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

541606820 is a wasteful number, since it uses less digits than its factorization.

541606820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47519 (or 47517 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 541606820 is about 23272.4476581214. The cubic root of 541606820 is about 815.1321852667.

The spelling of 541606820 in words is "five hundred forty-one million, six hundred six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 577 1154 2308 2885 5770 11540 46933 93866 187732 234665 469330 938660 27080341 54160682 108321364 135401705 270803410 541606820