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242969600 = 210529491
BaseRepresentation
bin11100111101101…
…10110000000000
3121221012010122002
432132312300000
5444200011400
640035403132
76010131116
oct1636666000
9557163562
10242969600
11115171725
12694534a8
133b4506c3
14243a9ab6
15164e5ed5
hexe7b6c00

242969600 has 66 divisors (see below), whose sum is σ = 602333844. Its totient is φ = 97177600.

The previous prime is 242969581. The next prime is 242969603. The reversal of 242969600 is 6969242.

It is not an unprimeable number, because it can be changed into a prime (242969603) 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 5 ways as a sum of consecutive naturals, for example, 20855 + ... + 30345.

Almost surely, 2242969600 is an apocalyptic number.

242969600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301166922).

242969600 is an abundant number, since it is smaller than the sum of its proper divisors (359364244).

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

242969600 is an equidigital number, since it uses as much as digits as its factorization.

242969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 242969600 is about 15587.4821571670. The cubic root of 242969600 is about 623.9991233825. Note that the first 3 decimals are identical.

The spelling of 242969600 in words is "two hundred forty-two million, nine hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 9491 12800 18982 25600 37964 47455 75928 94910 151856 189820 237275 303712 379640 474550 607424 759280 949100 1214848 1518560 1898200 2429696 3037120 3796400 4859392 6074240 7592800 9718784 12148480 15185600 24296960 30371200 48593920 60742400 121484800 242969600