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412420401 = 3253864613
BaseRepresentation
bin11000100101010…
…000100100110001
31001202001010102200
4120211100210301
51321034423101
6104531333413
713135341561
oct3045204461
91052033380
10412420401
111a1889608
12b6151269
136759ca53
143cab8da1
1526318986
hex18950931

412420401 has 12 divisors (see below), whose sum is σ = 606959028. Its totient is φ = 269758944.

The previous prime is 412420399. The next prime is 412420427. The reversal of 412420401 is 104024214.

It can be written as a sum of positive squares in 2 ways, for example, as 97535376 + 314885025 = 9876^2 + 17745^2 .

It is not a de Polignac number, because 412420401 - 21 = 412420399 is a prime.

It is a super-2 number, since 2×4124204012 = 340181174322001602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412420201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431830 + ... + 432783.

It is an arithmetic number, because the mean of its divisors is an integer number (50579919).

Almost surely, 2412420401 is an apocalyptic number.

It is an amenable number.

412420401 is a deficient number, since it is larger than the sum of its proper divisors (194538627).

412420401 is a wasteful number, since it uses less digits than its factorization.

412420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864672 (or 864669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 412420401 is about 20308.1363251284. The cubic root of 412420401 is about 744.3548916055.

Adding to 412420401 its reverse (104024214), we get a palindrome (516444615).

The spelling of 412420401 in words is "four hundred twelve million, four hundred twenty thousand, four hundred one".

Divisors: 1 3 9 53 159 477 864613 2593839 7781517 45824489 137473467 412420401