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242805248 = 297371831
BaseRepresentation
bin11100111100011…
…10101000000000
3121220212210011222
432132032220000
5444124231443
640032054212
76005545010
oct1636165000
9556783158
10242805248
1111506a1a4
1269394368
133b3c395a
1424365c40
15164b2468
hexe78ea00

242805248 has 80 divisors (see below), whose sum is σ = 569737344. Its totient is φ = 101191680.

The previous prime is 242805229. The next prime is 242805257. The reversal of 242805248 is 842508242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131693 + ... + 133523.

Almost surely, 2242805248 is an apocalyptic number.

242805248 is a gapful number since it is divisible by the number (28) 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 242805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284868672).

242805248 is an abundant number, since it is smaller than the sum of its proper divisors (326932096).

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

242805248 is an equidigital number, since it uses as much as digits as its factorization.

242805248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 242805248 is about 15582.2093427088. The cubic root of 242805248 is about 623.8583943414.

The spelling of 242805248 in words is "two hundred forty-two million, eight hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1036 1184 1792 1831 2072 2368 3584 3662 4144 4736 7324 8288 9472 12817 14648 16576 18944 25634 29296 33152 51268 58592 66304 67747 102536 117184 132608 135494 205072 234368 270988 410144 468736 474229 541976 820288 937472 948458 1083952 1640576 1896916 2167904 3281152 3793832 4335808 6562304 7587664 8671616 15175328 17343232 30350656 34686464 60701312 121402624 242805248