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541633261 = 13291436693
BaseRepresentation
bin100000010010001…
…010101011101101
31101202011211011011
4200102022223231
52102124231021
6125425025221
716264543501
oct4022125355
91352154134
10541633261
112588130a4
12131485211
13882a1170
1451d12301
153283dde1
hex2048aaed

541633261 has 8 divisors (see below), whose sum is σ = 603411480. Its totient is φ = 482728512.

The previous prime is 541633259. The next prime is 541633273. The reversal of 541633261 is 162336145.

It can be written as a sum of positive squares in 4 ways, for example, as 15848361 + 525784900 = 3981^2 + 22930^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 541633261 - 21 = 541633259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541633241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717970 + ... + 718723.

It is an arithmetic number, because the mean of its divisors is an integer number (75426435).

Almost surely, 2541633261 is an apocalyptic number.

It is an amenable number.

541633261 is a deficient number, since it is larger than the sum of its proper divisors (61778219).

541633261 is a wasteful number, since it uses less digits than its factorization.

541633261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436735.

The product of its digits is 12960, while the sum is 31.

The square root of 541633261 is about 23273.0157263729. The cubic root of 541633261 is about 815.1454498457.

The spelling of 541633261 in words is "five hundred forty-one million, six hundred thirty-three thousand, two hundred sixty-one".

Divisors: 1 13 29 377 1436693 18677009 41664097 541633261