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541056365 = 51737891933
BaseRepresentation
bin100000001111111…
…101110101101101
31101201002111210122
4200033331311231
52102002300430
6125404414325
716256621543
oct4017756555
91351074718
10541056365
11258459723
121312473a5
138812b6c5
1451c01d93
1532777ee5
hex203fdd6d

541056365 has 32 divisors (see below), whose sum is σ = 714342240. Its totient is φ = 391716864.

The previous prime is 541056359. The next prime is 541056371. The reversal of 541056365 is 563650145.

It is an interprime number because it is at equal distance from previous prime (541056359) and next prime (541056371).

It can be written as a sum of positive squares in 16 ways, for example, as 14032516 + 527023849 = 3746^2 + 22957^2 .

It is a cyclic number.

It is not a de Polignac number, because 541056365 - 214 = 541039981 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278939 + ... + 280871.

It is an arithmetic number, because the mean of its divisors is an integer number (22323195).

Almost surely, 2541056365 is an apocalyptic number.

It is an amenable number.

541056365 is a deficient number, since it is larger than the sum of its proper divisors (173285875).

541056365 is a wasteful number, since it uses less digits than its factorization.

541056365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081.

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 541056365 is about 23260.6183279809. The cubic root of 541056365 is about 814.8559420190.

The spelling of 541056365 in words is "five hundred forty-one million, fifty-six thousand, three hundred sixty-five".

Divisors: 1 5 17 37 85 89 185 445 629 1513 1933 3145 3293 7565 9665 16465 32861 55981 71521 164305 172037 279905 357605 860185 1215857 2924629 6079285 6365369 14623145 31826845 108211273 541056365