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242482608 = 24323771641
BaseRepresentation
bin11100111001111…
…11110110110000
3121220021101121100
432130333312300
5444033420413
640021124400
76003032244
oct1634776660
9556241540
10242482608
11114969855
1269259700
133b30cb44
14242c0424
151644ba73
hexe73fdb0

242482608 has 120 divisors (see below), whose sum is σ = 707874336. Its totient is φ = 77414400.

The previous prime is 242482531. The next prime is 242482613. The reversal of 242482608 is 806284242.

It is a happy number.

242482608 is a `hidden beast` number, since 2 + 4 + 2 + 48 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377968 + ... + 378608.

Almost surely, 2242482608 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 242482608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353937168).

242482608 is an abundant number, since it is smaller than the sum of its proper divisors (465391728).

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

242482608 is a wasteful number, since it uses less digits than its factorization.

242482608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 242482608 is about 15571.8530689189. The cubic root of 242482608 is about 623.5819438468.

The spelling of 242482608 in words is "two hundred forty-two million, four hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 71 72 74 111 142 144 148 213 222 284 296 333 426 444 568 592 639 641 666 852 888 1136 1278 1282 1332 1704 1776 1923 2556 2564 2627 2664 3408 3846 5112 5128 5254 5328 5769 7692 7881 10224 10256 10508 11538 15384 15762 21016 23076 23643 23717 30768 31524 42032 45511 46152 47286 47434 63048 71151 91022 92304 94572 94868 126096 136533 142302 182044 189144 189736 213453 273066 284604 364088 378288 379472 409599 426906 546132 569208 728176 819198 853812 1092264 1138416 1638396 1683907 1707624 2184528 3276792 3367814 3415248 5051721 6553584 6735628 10103442 13471256 15155163 20206884 26942512 30310326 40413768 60620652 80827536 121241304 242482608