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424232505 = 3358337861
BaseRepresentation
bin11001010010010…
…100011000111001
31002120021020121000
4121102110120321
51332100420010
6110032435213
713340626314
oct3122243071
91076236530
10424232505
111a8517184
12ba0a8b09
1369b77368
14404b197b
152739d7c0
hex19494639

424232505 has 32 divisors (see below), whose sum is σ = 763297920. Its totient is φ = 223525440.

The previous prime is 424232483. The next prime is 424232509. The reversal of 424232505 is 505232424.

It is a happy number.

424232505 is a `hidden beast` number, since 424 + 232 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 424232505 - 26 = 424232441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (424232509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7726 + ... + 30135.

It is an arithmetic number, because the mean of its divisors is an integer number (23853060).

Almost surely, 2424232505 is an apocalyptic number.

424232505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424232505 is a deficient number, since it is larger than the sum of its proper divisors (339065415).

424232505 is a wasteful number, since it uses less digits than its factorization.

424232505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37958 (or 37952 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 424232505 is about 20596.9052286988. The cubic root of 424232505 is about 751.3944457546.

Adding to 424232505 its reverse (505232424), we get a palindrome (929464929).

The spelling of 424232505 in words is "four hundred twenty-four million, two hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 83 135 249 415 747 1245 2241 3735 11205 37861 113583 189305 340749 567915 1022247 1703745 3142463 5111235 9427389 15712315 28282167 47136945 84846501 141410835 424232505