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242443509 = 37112936191
BaseRepresentation
bin11100111001101…
…10010011110101
3121220012101222020
432130312103311
5444031143014
640020223353
76002510250
oct1634662365
9556171866
10242443509
11114942440
126923ab59
133b2c80c9
14242b0097
15164401a9
hexe7364f5

242443509 has 32 divisors (see below), whose sum is σ = 416931840. Its totient is φ = 121598400.

The previous prime is 242443459. The next prime is 242443541. The reversal of 242443509 is 905344242.

It is not a de Polignac number, because 242443509 - 29 = 242442997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242443509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242443559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11397 + ... + 24794.

It is an arithmetic number, because the mean of its divisors is an integer number (13029120).

Almost surely, 2242443509 is an apocalyptic number.

242443509 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

242443509 is a deficient number, since it is larger than the sum of its proper divisors (174488331).

242443509 is a wasteful number, since it uses less digits than its factorization.

242443509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36241.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 242443509 is about 15570.5975800545. The cubic root of 242443509 is about 623.5484256477.

The spelling of 242443509 in words is "two hundred forty-two million, four hundred forty-three thousand, five hundred nine".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 36191 108573 253337 398101 760011 1049539 1194303 2786707 3148617 7346773 8360121 11544929 22040319 34634787 80814503 242443509