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242537985 = 32513141143
BaseRepresentation
bin11100111010011…
…01011000000001
3121220101012120100
432131031120001
5444042203420
640022233013
76003352554
oct1635153001
9556335510
10242537985
111149a7418
1269285769
133b32c101
14242d669b
151645d190
hexe74d601

242537985 has 24 divisors (see below), whose sum is σ = 423618624. Its totient is φ = 128363040.

The previous prime is 242537951. The next prime is 242537989. The reversal of 242537985 is 589735242.

242537985 is a `hidden beast` number, since 24 + 2 + 537 + 98 + 5 = 666.

It is not a de Polignac number, because 242537985 - 227 = 108320257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 242537985.

It is not an unprimeable number, because it can be changed into a prime (242537989) 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 23 ways as a sum of consecutive naturals, for example, 14677 + ... + 26466.

It is an arithmetic number, because the mean of its divisors is an integer number (17650776).

Almost surely, 2242537985 is an apocalyptic number.

It is an amenable number.

242537985 is a deficient number, since it is larger than the sum of its proper divisors (181080639).

242537985 is a wasteful number, since it uses less digits than its factorization.

242537985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41285 (or 41282 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 242537985 is about 15573.6310794882. The cubic root of 242537985 is about 623.6294104385.

The spelling of 242537985 in words is "two hundred forty-two million, five hundred thirty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 131 393 655 1179 1965 5895 41143 123429 205715 370287 617145 1851435 5389733 16169199 26948665 48507597 80845995 242537985