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242258004 = 22326729389
BaseRepresentation
bin11100111000010…
…01000001010100
3121212211222111200
432130021001110
5444004224004
640012232500
76001105362
oct1634110124
9555758450
10242258004
1111482602a
126916b730
133b261841
1424262632
1516405239
hexe709054

242258004 has 18 divisors (see below), whose sum is σ = 612374490. Its totient is φ = 80752656.

The previous prime is 242257987. The next prime is 242258021. The reversal of 242258004 is 400852242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242257987) and next prime (242258021).

It can be written as a sum of positive squares in only one way, i.e., 134513604 + 107744400 = 11598^2 + 10380^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3364659 + ... + 3364730.

It is an arithmetic number, because the mean of its divisors is an integer number (34020805).

Almost surely, 2242258004 is an apocalyptic number.

It is an amenable number.

242258004 is an abundant number, since it is smaller than the sum of its proper divisors (370116486).

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

242258004 is a wasteful number, since it uses less digits than its factorization.

242258004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729399 (or 6729394 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 242258004 is about 15564.6395396745. The cubic root of 242258004 is about 623.3893496006.

The spelling of 242258004 in words is "two hundred forty-two million, two hundred fifty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 6729389 13458778 20188167 26917556 40376334 60564501 80752668 121129002 242258004