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68823616 = 26172612
BaseRepresentation
bin1000001101000…
…10101001000000
311210111121020211
410012202221000
5120104323431
610455043504
71463663641
oct406425100
9153447224
1068823616
1135938224
121b070594
1311349244
1491d76c8
1560972b1
hex41a2a40

68823616 has 63 divisors (see below), whose sum is σ = 147495387. Its totient is φ = 31856640.

The previous prime is 68823593. The next prime is 68823617. The reversal of 68823616 is 61632886.

The square root of 68823616 is 8296.

It is a perfect power (a square), and thus also a powerful number.

68823616 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 6350400 + 62473216 = 2520^2 + 7904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68823617) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1128226 + ... + 1128286.

Almost surely, 268823616 is an apocalyptic number.

68823616 is the 8296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68823616

68823616 is an abundant number, since it is smaller than the sum of its proper divisors (78671771).

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

68823616 is an equidigital number, since it uses as much as digits as its factorization.

68823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 80 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The cubic root of 68823616 is about 409.8068016989.

Multiplying 68823616 by its product of digits (82944), we get a square (5708506005504 = 23892482).

The spelling of 68823616 in words is "sixty-eight million, eight hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 136 244 272 289 488 544 578 976 1037 1088 1156 1952 2074 2312 3721 3904 4148 4624 7442 8296 9248 14884 16592 17629 18496 29768 33184 35258 59536 63257 66368 70516 119072 126514 141032 238144 253028 282064 506056 564128 1012112 1075369 1128256 2024224 2150738 4048448 4301476 8602952 17205904 34411808 68823616