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268464289 = 1773216329
BaseRepresentation
bin10000000000000…
…111000010100001
3200201011101202211
4100000013002201
51022211324124
642350042121
76436623502
oct2000070241
9621141684
10268464289
111285a5215
1275aa9341
1343808b12
1427924ba9
151887ee94
hex100070a1

268464289 has 8 divisors (see below), whose sum is σ = 288151560. Its totient is φ = 249209856.

The previous prime is 268464283. The next prime is 268464293. The reversal of 268464289 is 982464862.

It can be written as a sum of positive squares in 4 ways, for example, as 110082064 + 158382225 = 10492^2 + 12585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268464289 - 211 = 268462241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268464283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106924 + ... + 109405.

It is an arithmetic number, because the mean of its divisors is an integer number (36018945).

Almost surely, 2268464289 is an apocalyptic number.

It is an amenable number.

268464289 is a deficient number, since it is larger than the sum of its proper divisors (19687271).

268464289 is a wasteful number, since it uses less digits than its factorization.

268464289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216419.

The product of its digits is 1327104, while the sum is 49.

The square root of 268464289 is about 16384.8798897032. The cubic root of 268464289 is about 645.1026729969.

The spelling of 268464289 in words is "two hundred sixty-eight million, four hundred sixty-four thousand, two hundred eighty-nine".

Divisors: 1 17 73 1241 216329 3677593 15792017 268464289