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242452288 = 2613433673
BaseRepresentation
bin11100111001110…
…00011101000000
3121220012212000101
432130320131000
5444031433123
640020332144
76002544661
oct1634703500
9556185011
10242452288
11114948aa1
1269244054
133b2cc0c0
14242b3368
1516442aad
hexe738740

242452288 has 56 divisors (see below), whose sum is σ = 520093448. Its totient is φ = 111476736.

The previous prime is 242452277. The next prime is 242452303. The reversal of 242452288 is 882254242.

242452288 is digitally balanced in base 3, because in such base 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 3069504 + 239382784 = 1752^2 + 15472^2 .

It is a super-2 number, since 2×2424522882 = 117566223912869888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359920 + ... + 360592.

It is an arithmetic number, because the mean of its divisors is an integer number (9287383).

Almost surely, 2242452288 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 242452288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260046724).

242452288 is an abundant number, since it is smaller than the sum of its proper divisors (277641160).

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

242452288 is a wasteful number, since it uses less digits than its factorization.

242452288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1121 counting only the distinct ones).

The product of its digits is 81920, while the sum is 37.

The square root of 242452288 is about 15570.8794870425. The cubic root of 242452288 is about 623.5559518897. Note that the first 3 decimals are identical.

The spelling of 242452288 in words is "two hundred forty-two million, four hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 433 673 832 866 1346 1732 2692 3464 5384 5629 6928 8749 10768 11258 13856 17498 21536 22516 27712 34996 43072 45032 69992 90064 139984 180128 279968 291409 360256 559936 582818 1165636 2331272 3788317 4662544 7576634 9325088 15153268 18650176 30306536 60613072 121226144 242452288