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68782608 = 24365897
BaseRepresentation
bin1000001100110…
…00101000010000
311210102112000000
410012120220100
5120102020413
610454130000
71463433246
oct406305020
9153375000
1068782608
113590a434
121b050900
131133368b
1491c6796
15608a073
hex4198a10

68782608 has 70 divisors (see below), whose sum is σ = 199841934. Its totient is φ = 22923648.

The previous prime is 68782607. The next prime is 68782639. The reversal of 68782608 is 80628786.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 1411344 = 8208^2 + 1188^2 .

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (68782601) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8716 + ... + 14612.

Almost surely, 268782608 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 68782608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99920967).

68782608 is an abundant number, since it is smaller than the sum of its proper divisors (131059326).

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

68782608 is an equidigital number, since it uses as much as digits as its factorization.

68782608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 68782608 is about 8293.5280791711. The cubic root of 68782608 is about 409.7253921615.

The spelling of 68782608 in words is "sixty-eight million, seven hundred eighty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 5897 11664 11794 17691 23588 35382 47176 53073 70764 94352 106146 141528 159219 212292 283056 318438 424584 477657 636876 849168 955314 1273752 1432971 1910628 2547504 2865942 3821256 4298913 5731884 7642512 8597826 11463768 17195652 22927536 34391304 68782608