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424202424 = 2331011391259
BaseRepresentation
bin11001010010001…
…101000010111000
31002120012201022220
4121102031002320
51332043434144
6110032044040
713340442522
oct3122150270
91076181286
10424202424
111a84a6618
12ba093620
1369b66769
14404a4a12
1527394919
hex1948d0b8

424202424 has 64 divisors (see below), whose sum is σ = 1079568000. Its totient is φ = 138883200.

The previous prime is 424202423. The next prime is 424202461.

424202424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 424202394 and 424202403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424202423) 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, 336307 + ... + 337565.

It is an arithmetic number, because the mean of its divisors is an integer number (16868250).

Almost surely, 2424202424 is an apocalyptic number.

It is an amenable number.

424202424 is an abundant number, since it is smaller than the sum of its proper divisors (655365576).

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

424202424 is a wasteful number, since it uses less digits than its factorization.

424202424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 424202424 is about 20596.1749846907. The cubic root of 424202424 is about 751.3766856582.

It can be divided in two parts, 42420 and 2424, that added together give a palindrome (44844).

The spelling of 424202424 in words is "four hundred twenty-four million, two hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 139 202 278 303 404 417 556 606 808 834 1112 1212 1259 1668 2424 2518 3336 3777 5036 7554 10072 14039 15108 28078 30216 42117 56156 84234 112312 127159 168468 175001 254318 336936 350002 381477 508636 525003 700004 762954 1017272 1050006 1400008 1525908 2100012 3051816 4200024 17675101 35350202 53025303 70700404 106050606 141400808 212101212 424202424