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414844868 = 221572412741
BaseRepresentation
bin11000101110100…
…000011111000100
31001220121022011202
4120232200133010
51322200013433
6105055322032
713165060154
oct3056403704
91056538152
10414844868
111a31950a9
12b6b20318
1367c3b449
143d14a764
1526646ee8
hex18ba07c4

414844868 has 24 divisors (see below), whose sum is σ = 733901784. Its totient is φ = 205171200.

The previous prime is 414844853. The next prime is 414844877. The reversal of 414844868 is 868448414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39337984 + 375506884 = 6272^2 + 19378^2 .

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 in 7 ways as a sum of consecutive naturals, for example, 149978 + ... + 152718.

It is an arithmetic number, because the mean of its divisors is an integer number (30579241).

Almost surely, 2414844868 is an apocalyptic number.

It is an amenable number.

414844868 is a deficient number, since it is larger than the sum of its proper divisors (319056916).

414844868 is a wasteful number, since it uses less digits than its factorization.

414844868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3141 counting only the distinct ones).

The product of its digits is 786432, while the sum is 47.

The square root of 414844868 is about 20367.7408663799. The cubic root of 414844868 is about 745.8106384225.

The spelling of 414844868 in words is "four hundred fourteen million, eight hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 4 157 241 314 482 628 964 2741 5482 10964 37837 75674 151348 430337 660581 860674 1321162 1721348 2642324 103711217 207422434 414844868