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414828352 = 266481693
BaseRepresentation
bin11000101110011…
…100011101000000
31001220120110112001
4120232130131000
51322144001402
6105055113344
713164661051
oct3056343500
91056513461
10414828352
111a3183754
12b6b12854
1367c33a83
143d144728
1526642187
hex18b9c740

414828352 has 14 divisors (see below), whose sum is σ = 823175138. Its totient is φ = 207414144.

The previous prime is 414828347. The next prime is 414828361. The reversal of 414828352 is 253828414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 261662976 + 153165376 = 16176^2 + 12376^2 .

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 as a sum of consecutive naturals, namely, 3240783 + ... + 3240910.

Almost surely, 2414828352 is an apocalyptic number.

It is an amenable number.

414828352 is a deficient number, since it is larger than the sum of its proper divisors (408346786).

414828352 is an equidigital number, since it uses as much as digits as its factorization.

414828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481705 (or 6481695 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 414828352 is about 20367.3354172803. The cubic root of 414828352 is about 745.8007407693.

The spelling of 414828352 in words is "four hundred fourteen million, eight hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 6481693 12963386 25926772 51853544 103707088 207414176 414828352