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242894176 = 25721931263
BaseRepresentation
bin11100111101001…
…00010101100000
3121221001022011121
432132210111200
5444140103201
640034022024
76006365200
oct1636442540
9557038147
10242894176
1111511aa98
1269417914
133b425285
142438a400
15164cd9a1
hexe7a4560

242894176 has 144 divisors (see below), whose sum is σ = 606735360. Its totient is φ = 95074560.

The previous prime is 242894153. The next prime is 242894203. The reversal of 242894176 is 671498242.

It is a congruent number.

It is an unprimeable number.

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, 923421 + ... + 923683.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2242894176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242894176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

242894176 is an abundant number, since it is smaller than the sum of its proper divisors (363841184).

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

242894176 is a wasteful number, since it uses less digits than its factorization.

242894176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 242894176 is about 15585.0625921104. The cubic root of 242894176 is about 623.9345482522.

The spelling of 242894176 in words is "two hundred forty-two million, eight hundred ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 49 56 62 76 98 112 124 133 152 196 217 224 248 263 266 304 392 434 496 526 532 589 608 784 868 931 992 1052 1064 1178 1519 1568 1736 1841 1862 2104 2128 2356 3038 3472 3682 3724 4123 4208 4256 4712 4997 6076 6944 7364 7448 8153 8246 8416 9424 9994 12152 12887 14728 14896 16306 16492 18848 19988 24304 25774 28861 29456 29792 32612 32984 34979 39976 48608 51548 57071 57722 58912 65224 65968 69958 79952 103096 114142 115444 130448 131936 139916 154907 159904 206192 228284 230888 244853 260896 279832 309814 399497 412384 456568 461776 489706 559664 619628 798994 913136 923552 979412 1084349 1119328 1239256 1597988 1826272 1958824 2168698 2478512 3195976 3917648 4337396 4957024 6391952 7590443 7835296 8674792 12783904 15180886 17349584 30361772 34699168 60723544 121447088 242894176