Search a number
-
+
424161424 = 24172953773
BaseRepresentation
bin11001010010000…
…011000010010000
31002120010122002101
4121102003002100
51332041131144
6110031130144
713340212141
oct3122030220
91076118071
10424161424
111a8478835
12ba073954
1369b50bbb
1440493ac8
15273876d4
hex19483090

424161424 has 40 divisors (see below), whose sum is σ = 900176760. Its totient is φ = 192718848.

The previous prime is 424161421. The next prime is 424161461.

424161424 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 156250000 + 267911424 = 12500^2 + 16368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 424161392 and 424161401.

It is not an unprimeable number, because it can be changed into a prime (424161421) 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, 18999 + ... + 34774.

It is an arithmetic number, because the mean of its divisors is an integer number (22504419).

Almost surely, 2424161424 is an apocalyptic number.

It is an amenable number.

424161424 is an abundant number, since it is smaller than the sum of its proper divisors (476015336).

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

424161424 is a wasteful number, since it uses less digits than its factorization.

424161424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53827 (or 53821 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 424161424 is about 20595.1796301950. The cubic root of 424161424 is about 751.3524775326.

The spelling of 424161424 in words is "four hundred twenty-four million, one hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 53773 107546 215092 430184 860368 914141 1559417 1828282 3118834 3656564 6237668 7313128 12475336 14626256 24950672 26510089 53020178 106040356 212080712 424161424