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242882406 = 23213279843
BaseRepresentation
bin11100111101000…
…01011101100110
3121221000201000200
432132201131212
5444134214111
640033451330
76006315654
oct1636413546
9557021020
10242882406
11115112168
1269410b46
133b41cb00
1424385dd4
15164ca256
hexe7a1766

242882406 has 36 divisors (see below), whose sum is σ = 569846628. Its totient is φ = 74732112.

The previous prime is 242882399. The next prime is 242882413. The reversal of 242882406 is 604288242.

It is a happy number.

242882406 is a `hidden beast` number, since 242 + 8 + 8 + 2 + 406 = 666.

It is an interprime number because it is at equal distance from previous prime (242882399) and next prime (242882413).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36880 + ... + 42963.

It is an arithmetic number, because the mean of its divisors is an integer number (15829073).

Almost surely, 2242882406 is an apocalyptic number.

242882406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

242882406 is an abundant number, since it is smaller than the sum of its proper divisors (326964222).

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

242882406 is a wasteful number, since it uses less digits than its factorization.

242882406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79877 (or 79861 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 242882406 is about 15584.6849823793. The cubic root of 242882406 is about 623.9244700248.

The spelling of 242882406 in words is "two hundred forty-two million, eight hundred eighty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 79843 159686 239529 479058 718587 1037959 1437174 2075918 3113877 6227754 9341631 13493467 18683262 26986934 40480401 80960802 121441203 242882406