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242861052 = 22372537793
BaseRepresentation
bin11100111100111…
…00001111111100
3121220222121201210
432132130033330
5444133023202
640033204420
76006166500
oct1636341774
9556877653
10242861052
111150a8115
1269400710
133b413185
142437c300
15164c3c6c
hexe79c3fc

242861052 has 72 divisors (see below), whose sum is σ = 671718096. Its totient is φ = 68070912.

The previous prime is 242861039. The next prime is 242861053. The reversal of 242861052 is 250168242.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242861053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27268 + ... + 35060.

It is an arithmetic number, because the mean of its divisors is an integer number (9329418).

Almost surely, 2242861052 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 242861052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335859048).

242861052 is an abundant number, since it is smaller than the sum of its proper divisors (428857044).

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

242861052 is a wasteful number, since it uses less digits than its factorization.

242861052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7858 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 242861052 is about 15583.9998716632. Note that the first 3 decimals coincide. The cubic root of 242861052 is about 623.9061845318.

The spelling of 242861052 in words is "two hundred forty-two million, eight hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 5194 7791 7793 10388 15582 15586 23379 31164 31172 46758 54551 93516 109102 163653 218204 327306 381857 413029 654612 763714 826058 1145571 1239087 1527428 1652116 2291142 2478174 2891203 4582284 4956348 5782406 8673609 11564812 17347218 20238421 34694436 40476842 60715263 80953684 121430526 242861052