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424606424 = 23112431012
BaseRepresentation
bin11001010011101…
…111101011011000
31002120222020111212
4121103233223120
51332144401144
6110044442252
713344044414
oct3123575330
91076866455
10424606424
111a8752100
12ba249388
1369c78608
144056bd44
152742449e
hex194efad8

424606424 has 72 divisors (see below), whose sum is σ = 904397340. Its totient is φ = 186648000.

The previous prime is 424606423. The next prime is 424606447.

424606424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424606423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4203974 + ... + 4204074.

Almost surely, 2424606424 is an apocalyptic number.

424606424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424606424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452198670).

424606424 is an abundant number, since it is smaller than the sum of its proper divisors (479790916).

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

424606424 is a wasteful number, since it uses less digits than its factorization.

424606424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 424606424 is about 20605.9802969915. The cubic root of 424606424 is about 751.6151408927.

It can be divided in two parts, 42460 and 6424, that added together give a palindrome (48884).

The spelling of 424606424 in words is "four hundred twenty-four million, six hundred six thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 101 121 172 202 242 344 404 473 484 808 946 968 1111 1892 2222 3784 4343 4444 5203 8686 8888 10201 10406 12221 17372 20402 20812 24442 34744 40804 41624 47773 48884 81608 95546 97768 112211 191092 224422 382184 438643 448844 525503 877286 897688 1051006 1234321 1754572 2102012 2468642 3509144 4204024 4825073 4937284 9650146 9874568 19300292 38600584 53075803 106151606 212303212 424606424