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527383040 = 295206009
BaseRepresentation
bin11111011011110…
…011101000000000
31100202100211112012
4133123303220000
52040002224130
6124155352052
716032452612
oct3733635000
91322324465
10527383040
1125076a758
12128752628
1385351b92
1450082db2
1531476995
hex1f6f3a00

527383040 has 40 divisors (see below), whose sum is σ = 1264489380. Its totient is φ = 210952192.

The previous prime is 527383033. The next prime is 527383069. The reversal of 527383040 is 40383725.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 509675776 + 17707264 = 22576^2 + 4208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 527382988 and 527383006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100445 + ... + 105564.

Almost surely, 2527383040 is an apocalyptic number.

It is an amenable number.

527383040 is an abundant number, since it is smaller than the sum of its proper divisors (737106340).

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

527383040 is an equidigital number, since it uses as much as digits as its factorization.

527383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206032 (or 206016 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 527383040 is about 22964.8217933430. The cubic root of 527383040 is about 807.9330729129.

The spelling of 527383040 in words is "five hundred twenty-seven million, three hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 206009 412018 824036 1030045 1648072 2060090 3296144 4120180 6592288 8240360 13184576 16480720 26369152 32961440 52738304 65922880 105476608 131845760 263691520 527383040