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424006605 = 325111750387
BaseRepresentation
bin11001010001011…
…101001111001101
31002112211202201100
4121101131033031
51332021202410
6110023533313
713335665601
oct3121351715
91075752640
10424006605
111a8382490
12b9bba239
1369ac85a9
1440453501
15273568c0
hex1945d3cd

424006605 has 48 divisors (see below), whose sum is σ = 848937024. Its totient is φ = 193482240.

The previous prime is 424006601. The next prime is 424006637. The reversal of 424006605 is 506600424.

It is a happy number.

It is not a de Polignac number, because 424006605 - 22 = 424006601 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424006601) 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, 16779 + ... + 33608.

It is an arithmetic number, because the mean of its divisors is an integer number (17686188).

Almost surely, 2424006605 is an apocalyptic number.

424006605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424006605 is an abundant number, since it is smaller than the sum of its proper divisors (424930419).

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

424006605 is a wasteful number, since it uses less digits than its factorization.

424006605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50426 (or 50423 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 424006605 is about 20591.4206649274. The cubic root of 424006605 is about 751.2610518094.

The spelling of 424006605 in words is "four hundred twenty-four million, six thousand, six hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 50387 151161 251935 453483 554257 755805 856579 1662771 2267415 2569737 2771285 4282895 4988313 7709211 8313855 9422369 12848685 24941565 28267107 38546055 47111845 84801321 141335535 424006605