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242457975 = 33523111587
BaseRepresentation
bin11100111001110…
…01110101110111
3121220020010211000
432130321311313
5444032123400
640020414343
76002600364
oct1634716567
9556203730
10242457975
111149522a1
12692473b3
133b301876
14242b546b
1516444600
hexe739d77

242457975 has 48 divisors (see below), whose sum is σ = 459811840. Its totient is φ = 125128800.

The previous prime is 242457959. The next prime is 242457979. The reversal of 242457975 is 579754242.

242457975 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 579 + 75 = 666.

It is not a de Polignac number, because 242457975 - 24 = 242457959 is a prime.

It is a super-2 number, since 2×2424579752 = 117571739282201250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 242457975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242457979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15132 + ... + 26718.

Almost surely, 2242457975 is an apocalyptic number.

242457975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242457975 is a deficient number, since it is larger than the sum of its proper divisors (217353865).

242457975 is a wasteful number, since it uses less digits than its factorization.

242457975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11626 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 242457975 is about 15571.0621025028. The cubic root of 242457975 is about 623.5608272612.

The spelling of 242457975 in words is "two hundred forty-two million, four hundred fifty-seven thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 135 155 225 279 465 675 775 837 1395 2325 4185 6975 11587 20925 34761 57935 104283 173805 289675 312849 359197 521415 869025 1077591 1564245 1795985 2607075 3232773 5387955 7821225 8979925 9698319 16163865 26939775 48491595 80819325 242457975