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541433064 = 233232773541
BaseRepresentation
bin100000010001011…
…001110011101000
31101201210122112110
4200101121303220
52102101324224
6125420442320
716263051024
oct4021316350
91351718473
10541433064
11258696747
121313a93a0
1388230cc3
1451c9d384
15327ee929
hex20459ce8

541433064 has 64 divisors (see below), whose sum is σ = 1417933440. Its totient is φ = 171959040.

The previous prime is 541433033. The next prime is 541433069. The reversal of 541433064 is 460334145.

It is not an unprimeable number, because it can be changed into a prime (541433069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151134 + ... + 154674.

It is an arithmetic number, because the mean of its divisors is an integer number (22155210).

Almost surely, 2541433064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541433064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708966720).

541433064 is an abundant number, since it is smaller than the sum of its proper divisors (876500376).

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

541433064 is a wasteful number, since it uses less digits than its factorization.

541433064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 541433064 is about 23268.7142747510. The cubic root of 541433064 is about 815.0450068613.

The spelling of 541433064 in words is "five hundred forty-one million, four hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 277 552 554 831 1108 1662 2216 3324 3541 6371 6648 7082 10623 12742 14164 19113 21246 25484 28328 38226 42492 50968 76452 81443 84984 152904 162886 244329 325772 488658 651544 977316 980857 1954632 1961714 2942571 3923428 5885142 7846856 11770284 22559711 23540568 45119422 67679133 90238844 135358266 180477688 270716532 541433064