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513223424 = 287286397
BaseRepresentation
bin11110100101110…
…010101100000000
31022202201110011222
4132211302230000
52022341122144
6122532054212
715501220130
oct3645625400
91282643158
10513223424
1124377939a
12123a64368
1382434bcc
144c238ac0
15300cb2ee
hex1e972b00

513223424 has 36 divisors (see below), whose sum is σ = 1170795024. Its totient is φ = 219952128.

The previous prime is 513223397. The next prime is 513223427. The reversal of 513223424 is 424322315.

It is a junction number, because it is equal to n+sod(n) for n = 513223393 and 513223402.

It is not an unprimeable number, because it can be changed into a prime (513223427) 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 3 ways as a sum of consecutive naturals, for example, 141407 + ... + 144990.

It is an arithmetic number, because the mean of its divisors is an integer number (32522084).

Almost surely, 2513223424 is an apocalyptic number.

It is an amenable number.

513223424 is an abundant number, since it is smaller than the sum of its proper divisors (657571600).

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

513223424 is an equidigital number, since it uses as much as digits as its factorization.

513223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286420 (or 286406 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 513223424 is about 22654.4349741943. The cubic root of 513223424 is about 800.6366931429.

Adding to 513223424 its reverse (424322315), we get a palindrome (937545739).

The spelling of 513223424 in words is "five hundred thirteen million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 286397 572794 1145588 2004779 2291176 4009558 4582352 8019116 9164704 16038232 18329408 32076464 36658816 64152928 73317632 128305856 256611712 513223424