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68149328 = 24131719273
BaseRepresentation
bin1000000111111…
…10000001010000
311202020100022012
410003332001100
5114421234303
610432402052
71455155042
oct403760120
9152210265
1068149328
1135517665
121a9a6328
1311171360
14909da92
155eb25d8
hex40fe050

68149328 has 40 divisors (see below), whose sum is σ = 150568488. Its totient is φ = 29601792.

The previous prime is 68149321. The next prime is 68149357. The reversal of 68149328 is 82394186.

It can be written as a sum of positive squares in 4 ways, for example, as 11478544 + 56670784 = 3388^2 + 7528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68149321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6101 + ... + 13172.

Almost surely, 268149328 is an apocalyptic number.

68149328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

68149328 is an abundant number, since it is smaller than the sum of its proper divisors (82419160).

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

68149328 is a wasteful number, since it uses less digits than its factorization.

68149328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311 (or 19305 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 68149328 is about 8255.2606258070. The cubic root of 68149328 is about 408.4640689067.

The spelling of 68149328 in words is "sixty-eight million, one hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 19273 38546 77092 154184 250549 308368 327641 501098 655282 1002196 1310564 2004392 2621128 4008784 4259333 5242256 8518666 17037332 34074664 68149328