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506528340 = 223515835333
BaseRepresentation
bin11110001100010…
…000001001010100
31022022010022020220
4132030100021110
52014132401330
6122132354340
715360264003
oct3614201124
91268108226
10506528340
1123aa1626a
121217759b0
1380c2c716
144b3b4c3a
152e707710
hex1e310254

506528340 has 48 divisors (see below), whose sum is σ = 1419441408. Its totient is φ = 134963584.

The previous prime is 506528339. The next prime is 506528359. The reversal of 506528340 is 43825605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92314 + ... + 97646.

It is an arithmetic number, because the mean of its divisors is an integer number (29571696).

Almost surely, 2506528340 is an apocalyptic number.

It is an amenable number.

506528340 is an abundant number, since it is smaller than the sum of its proper divisors (912913068).

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

506528340 is a wasteful number, since it uses less digits than its factorization.

506528340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 506528340 is about 22506.1844833815. The cubic root of 506528340 is about 797.1399645143.

The spelling of 506528340 in words is "five hundred six million, five hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1583 3166 4749 5333 6332 7915 9498 10666 15830 15999 18996 21332 23745 26665 31660 31998 47490 53330 63996 79995 94980 106660 159990 319980 8442139 16884278 25326417 33768556 42210695 50652834 84421390 101305668 126632085 168842780 253264170 506528340