Search a number
-
+
242494910 = 25719414447
BaseRepresentation
bin11100111010000…
…10110110111110
3121220022000110222
432131002312332
5444034314120
640021301342
76003113150
oct1635026676
9556260428
10242494910
11114978019
1269264852
133b315618
14242c4ad0
1516450525
hexe742dbe

242494910 has 64 divisors (see below), whose sum is σ = 538030080. Its totient is φ = 76826880.

The previous prime is 242494907. The next prime is 242494913. The reversal of 242494910 is 19494242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242494907) and next prime (242494913).

It is a super-3 number, since 3×2424949103 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242494913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52307 + ... + 56753.

It is an arithmetic number, because the mean of its divisors is an integer number (8406720).

Almost surely, 2242494910 is an apocalyptic number.

242494910 is an abundant number, since it is smaller than the sum of its proper divisors (295535170).

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

242494910 is a wasteful number, since it uses less digits than its factorization.

242494910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 242494910 is about 15572.2480714892. The cubic root of 242494910 is about 623.5924891740.

The spelling of 242494910 in words is "two hundred forty-two million, four hundred ninety-four thousand, nine hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 41 70 82 95 133 190 205 266 287 410 574 665 779 1330 1435 1558 2870 3895 4447 5453 7790 8894 10906 22235 27265 31129 44470 54530 62258 84493 155645 168986 182327 311290 364654 422465 591451 844930 911635 1182902 1276289 1823270 2552578 2957255 3464213 5914510 6381445 6928426 12762890 17321065 24249491 34642130 48498982 121247455 242494910