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980388268 = 222931337809
BaseRepresentation
bin111010011011111…
…000100110101100
32112022202212212121
4322123320212230
54001434411033
6241141042324
733203106556
oct7233704654
92468685777
10980388268
11463449242
122343b63a4
13128161702
14942c44d6
155b10a62d
hex3a6f89ac

980388268 has 48 divisors (see below), whose sum is σ = 1839801600. Its totient is φ = 456099840.

The previous prime is 980388251. The next prime is 980388301. The reversal of 980388268 is 862883089.

It is a happy number.

It is a super-3 number, since 3×9803882683 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211448 + ... + 1212256.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 2980388268 is an apocalyptic number.

It is an amenable number.

980388268 is a deficient number, since it is larger than the sum of its proper divisors (859413332).

980388268 is a wasteful number, since it uses less digits than its factorization.

980388268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 980388268 is about 31311.1524540378. The cubic root of 980388268 is about 993.4195486429.

The spelling of 980388268 in words is "nine hundred eighty million, three hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 4 29 31 58 62 116 124 337 674 809 899 1348 1618 1798 3236 3596 9773 10447 19546 20894 23461 25079 39092 41788 46922 50158 93844 100316 272633 302963 545266 605926 727291 1090532 1211852 1454582 2909164 7906357 8451623 15812714 16903246 31625428 33806492 245097067 490194134 980388268