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424041567 = 32947103703
BaseRepresentation
bin11001010001100…
…101110001011111
31002112220112200020
4121101211301133
51332023312232
6110024403223
713336202535
oct3121456137
91075815606
10424041567
111a83a6784
12ba016513
1369b0b491
1440462155
1527361e2c
hex19465c5f

424041567 has 16 divisors (see below), whose sum is σ = 597335040. Its totient is φ = 267136352.

The previous prime is 424041539. The next prime is 424041577. The reversal of 424041567 is 765140424.

It is a cyclic number.

It is not a de Polignac number, because 424041567 - 211 = 424039519 is a prime.

It is a super-3 number, since 3×4240415673 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424041577) 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, 47763 + ... + 55940.

It is an arithmetic number, because the mean of its divisors is an integer number (37333440).

Almost surely, 2424041567 is an apocalyptic number.

424041567 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

424041567 is a deficient number, since it is larger than the sum of its proper divisors (173293473).

424041567 is a wasteful number, since it uses less digits than its factorization.

424041567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103782.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 424041567 is about 20592.2695932236. The cubic root of 424041567 is about 751.2816999681.

The spelling of 424041567 in words is "four hundred twenty-four million, forty-one thousand, five hundred sixty-seven".

Divisors: 1 3 29 47 87 141 1363 4089 103703 311109 3007387 4874041 9022161 14622123 141347189 424041567