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427307816 = 231320272
BaseRepresentation
bin11001011110000…
…011001100101000
31002210001111010102
4121132003030220
51333342322231
6110222404532
713406025245
oct3136031450
91083044112
10427307816
111aa227761
12bb130748
136a6b3080
1440a725cc
15277a9acb
hex19783328

427307816 has 24 divisors (see below), whose sum is σ = 863258970. Its totient is φ = 197121696.

The previous prime is 427307809. The next prime is 427307819. The reversal of 427307816 is 618703724.

It can be written as a sum of positive squares in only one way, i.e., 410872900 + 16434916 = 20270^2 + 4054^2 .

It is a super-2 number, since 2×4273078162 = 365183939229379712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 427307816.

It is not an unprimeable number, because it can be changed into a prime (427307819) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 209795 + ... + 211821.

Almost surely, 2427307816 is an apocalyptic number.

It is an amenable number.

427307816 is an abundant number, since it is smaller than the sum of its proper divisors (435951154).

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

427307816 is an equidigital number, since it uses as much as digits as its factorization.

427307816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 427307816 is about 20671.4251081051. The cubic root of 427307816 is about 753.2057247677.

The spelling of 427307816 in words is "four hundred twenty-seven million, three hundred seven thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 2027 4054 8108 16216 26351 52702 105404 210808 4108729 8217458 16434916 32869832 53413477 106826954 213653908 427307816