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541042557 = 311101271599
BaseRepresentation
bin100000001111111…
…010011101111101
31101201001210212020
4200033322131331
52102001330212
6125404230353
716256533356
oct4017723575
91351053766
10541042557
1125844a310
1213123b3b9
1388125333
1451bdad2d
1532773d8c
hex203fa77d

541042557 has 32 divisors (see below), whose sum is σ = 799027200. Its totient is φ = 322920000.

The previous prime is 541042529. The next prime is 541042559. The reversal of 541042557 is 755240145.

It is not a de Polignac number, because 541042557 - 212 = 541038461 is a prime.

It is a super-3 number, since 3×5410425573 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541042559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902944 + ... + 903542.

It is an arithmetic number, because the mean of its divisors is an integer number (24969600).

Almost surely, 2541042557 is an apocalyptic number.

It is an amenable number.

541042557 is a deficient number, since it is larger than the sum of its proper divisors (257984643).

541042557 is a wasteful number, since it uses less digits than its factorization.

541042557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985.

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 541042557 is about 23260.3215154047. The cubic root of 541042557 is about 814.8490101308.

The spelling of 541042557 in words is "five hundred forty-one million, forty-two thousand, five hundred fifty-seven".

Divisors: 1 3 11 33 101 271 303 599 813 1111 1797 2981 3333 6589 8943 19767 27371 60499 82113 162329 181497 301081 486987 665489 903243 1785619 1996467 5356857 16395229 49185687 180347519 541042557