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823424540 = 225197208991
BaseRepresentation
bin110001000101000…
…111011000011100
32010101102022010012
4301011013120130
53141244041130
6213412502352
726255664431
oct6105073034
92111368105
10823424540
11392890054
121ab91a9b8
13101794c73
147b505b88
154c452995
hex3114761c

823424540 has 24 divisors (see below), whose sum is σ = 1737977472. Its totient is φ = 327696320.

The previous prime is 823424531. The next prime is 823424551. The reversal of 823424540 is 45424328.

It is a junction number, because it is equal to n+sod(n) for n = 823424497 and 823424506.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 100556 + ... + 108435.

It is an arithmetic number, because the mean of its divisors is an integer number (72415728).

Almost surely, 2823424540 is an apocalyptic number.

It is an amenable number.

823424540 is an abundant number, since it is smaller than the sum of its proper divisors (914552932).

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

823424540 is a wasteful number, since it uses less digits than its factorization.

823424540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209197 (or 209195 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 823424540 is about 28695.3748886471. The cubic root of 823424540 is about 937.2913346558.

Adding to 823424540 its reverse (45424328), we get a palindrome (868848868).

The spelling of 823424540 in words is "eight hundred twenty-three million, four hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 208991 417982 835964 1044955 2089910 4179820 41171227 82342454 164684908 205856135 411712270 823424540