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817412420 = 225113715511
BaseRepresentation
bin110000101110001…
…011100101000100
32002222002212001002
4300232023211010
53133224144140
6213035552432
726153614406
oct6056134504
92088085032
10817412420
1138a454060
121a98bb718
1310046b5b6
147a7bcb76
154bb66415
hex30b8b944

817412420 has 24 divisors (see below), whose sum is σ = 1872618048. Its totient is φ = 297240800.

The previous prime is 817412417. The next prime is 817412423. The reversal of 817412420 is 24214718.

It is an interprime number because it is at equal distance from previous prime (817412417) and next prime (817412423).

It is not an unprimeable number, because it can be changed into a prime (817412423) 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 7 ways as a sum of consecutive naturals, for example, 1857536 + ... + 1857975.

It is an arithmetic number, because the mean of its divisors is an integer number (78025752).

Almost surely, 2817412420 is an apocalyptic number.

It is an amenable number.

817412420 is an abundant number, since it is smaller than the sum of its proper divisors (1055205628).

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

817412420 is a wasteful number, since it uses less digits than its factorization.

817412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715531 (or 3715529 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 817412420 is about 28590.4253203761. The cubic root of 817412420 is about 935.0045926166.

The spelling of 817412420 in words is "eight hundred seventeen million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3715511 7431022 14862044 18577555 37155110 40870621 74310220 81741242 163482484 204353105 408706210 817412420