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541054350 = 233521792239
BaseRepresentation
bin100000001111111…
…101010110001110
31101201002102001000
4200033331112032
52102002214400
6125404401130
716256612634
oct4017752616
91351072030
10541054350
11258458161
121312461a6
138812a805
1451c01354
1532777600
hex203fd58e

541054350 has 96 divisors (see below), whose sum is σ = 1499904000. Its totient is φ = 143411040.

The previous prime is 541054321. The next prime is 541054357. The reversal of 541054350 is 53450145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541054357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240531 + ... + 242769.

It is an arithmetic number, because the mean of its divisors is an integer number (15624000).

Almost surely, 2541054350 is an apocalyptic number.

541054350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541054350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

541054350 is an abundant number, since it is smaller than the sum of its proper divisors (958849650).

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

541054350 is a wasteful number, since it uses less digits than its factorization.

541054350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 541054350 is about 23260.5750143886. The cubic root of 541054350 is about 814.8549304566.

The spelling of 541054350 in words is "five hundred forty-one million, fifty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 179 225 270 358 450 537 675 895 1074 1350 1611 1790 2239 2685 3222 4475 4478 4833 5370 6717 8055 8950 9666 11195 13425 13434 16110 20151 22390 24165 26850 33585 40275 40302 48330 55975 60453 67170 80550 100755 111950 120825 120906 167925 201510 241650 302265 335850 400781 503775 604530 801562 1007550 1202343 1511325 2003905 2404686 3022650 3607029 4007810 6011715 7214058 10019525 10821087 12023430 18035145 20039050 21642174 30058575 36070290 54105435 60117150 90175725 108210870 180351450 270527175 541054350