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242848842 = 231719292149
BaseRepresentation
bin11100111100110…
…01010001001010
3121220221222222120
432132121101022
5444132130332
640033032110
76006116055
oct1636312112
9556858876
10242848842
11115099a25
12693b5636
133b40a752
1424377a9c
15164c032c
hexe79944a

242848842 has 96 divisors (see below), whose sum is σ = 564408000. Its totient is φ = 69221376.

The previous prime is 242848831. The next prime is 242848843. The reversal of 242848842 is 248848242.

242848842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242848794 and 242848803.

It is not an unprimeable number, because it can be changed into a prime (242848843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629784 + ... + 1629932.

It is an arithmetic number, because the mean of its divisors is an integer number (5879250).

Almost surely, 2242848842 is an apocalyptic number.

242848842 is an abundant number, since it is smaller than the sum of its proper divisors (321559158).

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

242848842 is a wasteful number, since it uses less digits than its factorization.

242848842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The square root of 242848842 is about 15583.6081187894. The cubic root of 242848842 is about 623.8957285912.

The spelling of 242848842 in words is "two hundred forty-two million, eight hundred forty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 17 19 29 34 38 51 57 58 87 102 114 149 174 298 323 447 493 551 646 841 894 969 986 1102 1479 1653 1682 1938 2523 2533 2831 2958 3306 4321 5046 5066 5662 7599 8493 8642 9367 12963 14297 15198 15979 16986 18734 25926 28101 28594 31958 42891 47937 48127 56202 73457 82099 85782 95874 96254 125309 144381 146914 164198 220371 246297 250618 271643 288762 375927 440742 492594 543286 751854 814929 1395683 1629858 2130253 2380871 2791366 4187049 4260506 4761742 6390759 7142613 8374098 12781518 14285226 40474807 80949614 121424421 242848842