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68398496 = 2537411409
BaseRepresentation
bin1000001001110…
…10110110100000
311202201000002122
410010322312200
5120002222441
610442003412
71460243345
oct404726640
9152630078
1068398496
1135677891
121aaa6568
131122a8aa
1491267cc
15601134b
hex413ada0

68398496 has 48 divisors (see below), whose sum is σ = 141772680. Its totient is φ = 32440320.

The previous prime is 68398469. The next prime is 68398529. The reversal of 68398496 is 69489386.

It can be written as a sum of positive squares in 4 ways, for example, as 34339600 + 34058896 = 5860^2 + 5836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47840 + ... + 49248.

Almost surely, 268398496 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 68398496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70886340).

68398496 is an abundant number, since it is smaller than the sum of its proper divisors (73374184).

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

68398496 is a wasteful number, since it uses less digits than its factorization.

68398496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 68398496 is about 8270.3383243976. The cubic root of 68398496 is about 408.9612730671.

The spelling of 68398496 in words is "sixty-eight million, three hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 592 656 1184 1312 1409 1517 2818 3034 5636 6068 11272 12136 22544 24272 45088 48544 52133 57769 104266 115538 208532 231076 417064 462152 834128 924304 1668256 1848608 2137453 4274906 8549812 17099624 34199248 68398496