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242107536 = 24311617517
BaseRepresentation
bin11100110111001…
…00010010010000
3121212120100002210
432123210102100
5443434420121
640005112120
75666610606
oct1633442220
9555510083
10242107536
11114732a80
12690b8640
133b20b1c8
1424223876
15163c5876
hexe6e4490

242107536 has 80 divisors (see below), whose sum is σ = 693580608. Its totient is φ = 72153600.

The previous prime is 242107517. The next prime is 242107553. The reversal of 242107536 is 635701242.

242107536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28450 + ... + 35966.

Almost surely, 2242107536 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 242107536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346790304).

242107536 is an abundant number, since it is smaller than the sum of its proper divisors (451473072).

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

242107536 is a wasteful number, since it uses less digits than its factorization.

242107536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 242107536 is about 15559.8051401680. The cubic root of 242107536 is about 623.2602591630.

Adding to 242107536 its reverse (635701242), we get a palindrome (877808778).

The spelling of 242107536 in words is "two hundred forty-two million, one hundred seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2684 2928 4026 5368 7517 8052 10736 15034 16104 22551 30068 32208 45102 60136 82687 90204 120272 165374 180408 248061 330748 360816 458537 496122 661496 917074 992244 1322992 1375611 1834148 1984488 2751222 3668296 3968976 5043907 5502444 7336592 10087814 11004888 15131721 20175628 22009776 30263442 40351256 60526884 80702512 121053768 242107536