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268440648 = 23371597861
BaseRepresentation
bin10000000000000…
…001010001001000
3200201010012100020
4100000001101020
51022210100043
642345340440
76436464540
oct2000012110
9621105306
10268440648
11128589483
1275a97720
13437cb128
142791a320
1518877e83
hex10001448

268440648 has 32 divisors (see below), whose sum is σ = 766973760. Its totient is φ = 76697280.

The previous prime is 268440631. The next prime is 268440649. The reversal of 268440648 is 846044862.

It is a super-3 number, since 3×2684406483 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (268440649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798763 + ... + 799098.

It is an arithmetic number, because the mean of its divisors is an integer number (23967930).

Almost surely, 2268440648 is an apocalyptic number.

268440648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268440648 is an abundant number, since it is smaller than the sum of its proper divisors (498533112).

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

268440648 is a wasteful number, since it uses less digits than its factorization.

268440648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597877 (or 1597873 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 268440648 is about 16384.1584464995. The cubic root of 268440648 is about 645.0837364995.

The spelling of 268440648 in words is "two hundred sixty-eight million, four hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1597861 3195722 4793583 6391444 9587166 11185027 12782888 19174332 22370054 33555081 38348664 44740108 67110162 89480216 134220324 268440648