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68126464 = 28725431
BaseRepresentation
bin1000000111110…
…00011100000000
311202012011221101
410003320130000
5114420021324
610432104144
71455031300
oct403703400
9152164841
1068126464
113550146a
121a995054
1311163b23
149095600
155eaa944
hex40f8700

68126464 has 54 divisors (see below), whose sum is σ = 158217864. Its totient is φ = 29191680.

The previous prime is 68126441. The next prime is 68126473. The reversal of 68126464 is 46462186.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9829 + ... + 15259.

Almost surely, 268126464 is an apocalyptic number.

68126464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79108932).

68126464 is an abundant number, since it is smaller than the sum of its proper divisors (90091400).

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

68126464 is an equidigital number, since it uses as much as digits as its factorization.

68126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5440 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 68126464 is about 8253.8756956959. The cubic root of 68126464 is about 408.4183840978.

The spelling of 68126464 in words is "sixty-eight million, one hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 5431 6272 10862 12544 21724 38017 43448 76034 86896 152068 173792 266119 304136 347584 532238 608272 695168 1064476 1216544 1390336 2128952 2433088 4257904 4866176 8515808 9732352 17031616 34063232 68126464