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242809524 = 223261110569
BaseRepresentation
bin11100111100011…
…11101010110100
3121220220000001100
432132033222310
5444124401044
640032130100
76005563326
oct1636175264
9556800040
10242809524
11115072431
1269396930
133b3c5899
1424367616
15164b3869
hexe78fab4

242809524 has 36 divisors (see below), whose sum is σ = 623835940. Its totient is φ = 79608960.

The previous prime is 242809517. The next prime is 242809529. The reversal of 242809524 is 425908242.

It can be written as a sum of positive squares in 2 ways, for example, as 60559524 + 182250000 = 7782^2 + 13500^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242809529) 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 11 ways as a sum of consecutive naturals, for example, 53089 + ... + 57480.

Almost surely, 2242809524 is an apocalyptic number.

It is an amenable number.

242809524 is an abundant number, since it is smaller than the sum of its proper divisors (381026416).

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

242809524 is a wasteful number, since it uses less digits than its factorization.

242809524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110640 (or 110635 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 242809524 is about 15582.3465498621. The cubic root of 242809524 is about 623.8620565396.

The spelling of 242809524 in words is "two hundred forty-two million, eight hundred nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 110569 221138 331707 442276 663414 995121 1326828 1990242 3980484 6744709 13489418 20234127 26978836 40468254 60702381 80936508 121404762 242809524