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428359744 = 2617393713
BaseRepresentation
bin11001100010000…
…100000001000000
31002212000221002201
4121202010001000
51334130002434
6110301122544
713420666141
oct3142040100
91085027081
10428359744
111aa88601a
12bb559454
136a990b07
1440c67ac8
1527916614
hex19884040

428359744 has 28 divisors (see below), whose sum is σ = 900030204. Its totient is φ = 201580544.

The previous prime is 428359741. The next prime is 428359753. The reversal of 428359744 is 447953824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 282240000 + 146119744 = 16800^2 + 12088^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 428359694 and 428359703.

It is not an unprimeable number, because it can be changed into a prime (428359741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195769 + ... + 197944.

Almost surely, 2428359744 is an apocalyptic number.

It is an amenable number.

428359744 is an abundant number, since it is smaller than the sum of its proper divisors (471670460).

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

428359744 is a wasteful number, since it uses less digits than its factorization.

428359744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393742 (or 393732 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The square root of 428359744 is about 20696.8534806622. The cubic root of 428359744 is about 753.8232880985.

The spelling of 428359744 in words is "four hundred twenty-eight million, three hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 393713 787426 1574852 3149704 6299408 6693121 12598816 13386242 25197632 26772484 53544968 107089936 214179872 428359744