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541424145 = 35313731469
BaseRepresentation
bin100000010001010…
…111101000010001
31101201210012022010
4200101113220101
52102101033040
6125420333133
716263013023
oct4021275021
91351705263
10541424145
1125868aa79
121313a41a9
1388229c22
1451c9a013
15327ebe80
hex20457a11

541424145 has 32 divisors (see below), whose sum is σ = 918420480. Its totient is φ = 271883520.

The previous prime is 541424141. The next prime is 541424167.

541424145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541424145 - 22 = 541424141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (541424141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1471 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (28700640).

Almost surely, 2541424145 is an apocalyptic number.

It is an amenable number.

541424145 is a deficient number, since it is larger than the sum of its proper divisors (376996335).

541424145 is a wasteful number, since it uses less digits than its factorization.

541424145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31545.

The product of its digits is 12800, while the sum is 30.

The square root of 541424145 is about 23268.5226217738. The cubic root of 541424145 is about 815.0405314380.

The spelling of 541424145 in words is "five hundred forty-one million, four hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 15 31 37 93 111 155 185 465 555 1147 3441 5735 17205 31469 94407 157345 472035 975539 1164353 2926617 3493059 4877695 5821765 14633085 17465295 36094943 108284829 180474715 541424145