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242528936 = 231317137177
BaseRepresentation
bin11100111010010…
…11001010101000
3121220100202011012
432131023022220
5444041411221
640022123052
76003314306
oct1635131250
9556322135
10242528936
111149a0641
1269280488
133b327c60
14242d3276
151645a65b
hexe74b2a8

242528936 has 32 divisors (see below), whose sum is σ = 518532840. Its totient is φ = 105351168.

The previous prime is 242528933. The next prime is 242528941. The reversal of 242528936 is 639825242.

242528936 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 207648100 + 34880836 = 14410^2 + 5906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242528893 and 242528902.

It is not an unprimeable number, because it can be changed into a prime (242528933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66821 + ... + 70356.

Almost surely, 2242528936 is an apocalyptic number.

242528936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

242528936 is an abundant number, since it is smaller than the sum of its proper divisors (276003904).

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

242528936 is a wasteful number, since it uses less digits than its factorization.

242528936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137213 (or 137209 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 242528936 is about 15573.3405536513. The cubic root of 242528936 is about 623.6216545500.

The spelling of 242528936 in words is "two hundred forty-two million, five hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 137177 274354 548708 1097416 1783301 2332009 3566602 4664018 7133204 9328036 14266408 18656072 30316117 60632234 121264468 242528936