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541644426 = 232294359409
BaseRepresentation
bin100000010010001…
…101011010001010
31101202012101110200
4200102031122022
52102130110201
6125425153030
716264621161
oct4022153212
91352171420
10541644426
11258820524
1213148b776
13882a627b
1451d163d8
1532842386
hex2048d68a

541644426 has 96 divisors (see below), whose sum is σ = 1266408000. Its totient is φ = 166973184.

The previous prime is 541644409. The next prime is 541644449. The reversal of 541644426 is 624446145.

541644426 is a `hidden beast` number, since 5 + 4 + 1 + 644 + 4 + 2 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324110 + ... + 1324518.

It is an arithmetic number, because the mean of its divisors is an integer number (13191750).

Almost surely, 2541644426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541644426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633204000).

541644426 is an abundant number, since it is smaller than the sum of its proper divisors (724763574).

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

541644426 is a wasteful number, since it uses less digits than its factorization.

541644426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 545 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 541644426 is about 23273.2555952106. The cubic root of 541644426 is about 815.1510508289.

The spelling of 541644426 in words is "five hundred forty-one million, six hundred forty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 43 58 59 86 87 118 129 174 177 258 261 354 387 409 522 531 774 818 1062 1227 1247 1711 2454 2494 2537 3422 3681 3741 5074 5133 7362 7482 7611 10266 11223 11861 15222 15399 17587 22446 22833 23722 24131 30798 35174 35583 45666 48262 52761 71166 72393 73573 105522 106749 144786 147146 158283 213498 217179 220719 316566 434358 441438 510023 662157 699799 1020046 1037633 1324314 1399598 1530069 2075266 2099397 3060138 3112899 4198794 4590207 6225798 6298191 9180414 9338697 12596382 18677394 30091357 60182714 90274071 180548142 270822213 541644426