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242889450 = 235279103199
BaseRepresentation
bin11100111101000…
…11001011101010
3121221001001200120
432132203023222
5444134430300
640033544110
76006345336
oct1636431352
9557031616
10242889450
11115117491
1269415036
133b42308b
14243887c6
15164cc3a0
hexe7a32ea

242889450 has 96 divisors (see below), whose sum is σ = 619008000. Its totient is φ = 63011520.

The previous prime is 242889403. The next prime is 242889461. The reversal of 242889450 is 54988242.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220451 + ... + 1220649.

It is an arithmetic number, because the mean of its divisors is an integer number (6448000).

Almost surely, 2242889450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242889450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309504000).

242889450 is an abundant number, since it is smaller than the sum of its proper divisors (376118550).

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

242889450 is a wasteful number, since it uses less digits than its factorization.

242889450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 242889450 is about 15584.9109718343. The cubic root of 242889450 is about 623.9305015876.

The spelling of 242889450 in words is "two hundred forty-two million, eight hundred eighty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 103 150 158 199 206 237 309 395 398 474 515 597 618 790 995 1030 1185 1194 1545 1975 1990 2370 2575 2985 3090 3950 4975 5150 5925 5970 7725 8137 9950 11850 14925 15450 15721 16274 20497 24411 29850 31442 40685 40994 47163 48822 61491 78605 81370 94326 102485 122055 122982 157210 203425 204970 235815 244110 307455 393025 406850 471630 512425 610275 614910 786050 1024850 1179075 1220550 1537275 1619263 2358150 3074550 3238526 4857789 8096315 9715578 16192630 24288945 40481575 48577890 80963150 121444725 242889450