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424141424 = 2479739041
BaseRepresentation
bin11001010001111…
…110001001110000
31002120002121122122
4121101332021300
51332040011144
6110030453412
713340066630
oct3121761160
91076077578
10424141424
111a8464803
12ba064268
1369b44a75
144048a6c0
15273817ee
hex1947e270

424141424 has 40 divisors (see below), whose sum is σ = 948876768. Its totient is φ = 179896320.

The previous prime is 424141409. The next prime is 424141429.

424141424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424141393 and 424141402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424141429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8657 + ... + 30384.

Almost surely, 2424141424 is an apocalyptic number.

It is an amenable number.

424141424 is an abundant number, since it is smaller than the sum of its proper divisors (524735344).

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

424141424 is a wasteful number, since it uses less digits than its factorization.

424141424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39153 (or 39147 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 424141424 is about 20594.6940739599. The cubic root of 424141424 is about 751.3406681247.

The spelling of 424141424 in words is "four hundred twenty-four million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 39041 78082 156164 273287 312328 546574 624656 1093148 2186296 3786977 4372592 7573954 15147908 26508839 30295816 53017678 60591632 106035356 212070712 424141424