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580825640 = 23576119081
BaseRepresentation
bin100010100111101…
…011001000101000
31111110220222222202
4202213223020220
52142142410030
6133345035332
720251636133
oct4247531050
91443828882
10580825640
1127895199a
12142625b48
1393444215
14571d521a
1535ed1745
hex229eb228

580825640 has 32 divisors (see below), whose sum is σ = 1308643560. Its totient is φ = 232012800.

The previous prime is 580825633. The next prime is 580825709. The reversal of 580825640 is 46528085.

It can be written as a sum of positive squares in 4 ways, for example, as 163277284 + 417548356 = 12778^2 + 20434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 580825594 and 580825603.

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, 20900 + ... + 39980.

Almost surely, 2580825640 is an apocalyptic number.

It is an amenable number.

580825640 is an abundant number, since it is smaller than the sum of its proper divisors (727817920).

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

580825640 is a wasteful number, since it uses less digits than its factorization.

580825640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19853 (or 19849 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 580825640 is about 24100.3244791434. The cubic root of 580825640 is about 834.3506204027.

The spelling of 580825640 in words is "five hundred eighty million, eight hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 761 1522 3044 3805 6088 7610 15220 19081 30440 38162 76324 95405 152648 190810 381620 763240 14520641 29041282 58082564 72603205 116165128 145206410 290412820 580825640