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242716650 = 235211172509
BaseRepresentation
bin11100111011110…
…00111111101010
3121220201021122120
432131320333222
5444113413100
640030132110
76005025501
oct1635707752
9556637576
10242716650
11115009680
1269351036
133b392527
1424341838
15164960a0
hexe778fea

242716650 has 144 divisors (see below), whose sum is σ = 698928480. Its totient is φ = 55270400.

The previous prime is 242716637. The next prime is 242716681. The reversal of 242716650 is 56617242.

It is a super-2 number, since 2×2427166502 = 117822744374445000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476596 + ... + 477104.

It is an arithmetic number, because the mean of its divisors is an integer number (4853670).

Almost surely, 2242716650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242716650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349464240).

242716650 is an abundant number, since it is smaller than the sum of its proper divisors (456211830).

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

242716650 is a wasteful number, since it uses less digits than its factorization.

242716650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 242716650 is about 15579.3661616896. The cubic root of 242716650 is about 623.7825045343.

The spelling of 242716650 in words is "two hundred forty-two million, seven hundred sixteen thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 17 22 25 30 33 34 50 51 55 66 75 85 102 110 150 165 170 187 255 275 289 330 374 425 509 510 550 561 578 825 850 867 935 1018 1122 1275 1445 1527 1650 1734 1870 2545 2550 2805 2890 3054 3179 4335 4675 5090 5599 5610 6358 7225 7635 8653 8670 9350 9537 11198 12725 14025 14450 15270 15895 16797 17306 19074 21675 25450 25959 27995 28050 31790 33594 38175 43265 43350 47685 51918 55990 76350 79475 83985 86530 95183 95370 129795 139975 147101 158950 167970 190366 216325 238425 259590 279950 285549 294202 419925 432650 441303 475915 476850 571098 648975 735505 839850 882606 951830 1297950 1427745 1471010 1618111 2206515 2379575 2855490 3236222 3677525 4413030 4759150 4854333 7138725 7355050 8090555 9708666 11032575 14277450 16181110 22065150 24271665 40452775 48543330 80905550 121358325 242716650