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242012672 = 291197443
BaseRepresentation
bin11100110110011…
…01001000000000
3121212101111222022
432123031020000
5443423401142
640003101012
75666034206
oct1633151000
9555344868
10242012672
11114678780
1269071768
133b1a6c85
14241db076
15163a76d2
hexe6cd200

242012672 has 80 divisors (see below), whose sum is σ = 534153312. Its totient is φ = 108625920.

The previous prime is 242012669. The next prime is 242012677. The reversal of 242012672 is 276210242.

It is not an unprimeable number, because it can be changed into a prime (242012677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546083 + ... + 546525.

Almost surely, 2242012672 is an apocalyptic number.

242012672 is a gapful number since it is divisible by the number (22) 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 242012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267076656).

242012672 is an abundant number, since it is smaller than the sum of its proper divisors (292140640).

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

242012672 is an equidigital number, since it uses as much as digits as its factorization.

242012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 242012672 is about 15556.7564742783. The cubic root of 242012672 is about 623.1788453608.

The spelling of 242012672 in words is "two hundred forty-two million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 443 512 704 776 886 1067 1408 1552 1772 2134 2816 3104 3544 4268 4873 5632 6208 7088 8536 9746 12416 14176 17072 19492 24832 28352 34144 38984 42971 49664 56704 68288 77968 85942 113408 136576 155936 171884 226816 273152 311872 343768 472681 546304 623744 687536 945362 1247488 1375072 1890724 2494976 2750144 3781448 5500288 7562896 11000576 15125792 22001152 30251584 60503168 121006336 242012672