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827252644 = 227321972
BaseRepresentation
bin110001010011101…
…101111110100100
32010122121210021211
4301103231332210
53143234041034
6214030521204
726333350201
oct6123557644
92118553254
10827252644
11394a65179
121b1066204
1310250550a
147bc20ca8
154c95bd64
hex314edfa4

827252644 has 27 divisors (see below), whose sum is σ = 1475283747. Its totient is φ = 405889344.

The previous prime is 827252633. The next prime is 827252663. The reversal of 827252644 is 446252728.

The square root of 827252644 is 28762.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 352012644 + 475240000 = 18762^2 + 21800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827252597 and 827252606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4199154 + ... + 4199350.

Almost surely, 2827252644 is an apocalyptic number.

827252644 is the 28762-nd square number.

It is an amenable number.

827252644 is a deficient number, since it is larger than the sum of its proper divisors (648031103).

827252644 is an equidigital number, since it uses as much as digits as its factorization.

827252644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The cubic root of 827252644 is about 938.7415799690.

The spelling of 827252644 in words is "eight hundred twenty-seven million, two hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 4 73 146 197 292 394 788 5329 10658 14381 21316 28762 38809 57524 77618 155236 1049813 2099626 2833057 4199252 5666114 11332228 206813161 413626322 827252644