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980488768 = 26719127907
BaseRepresentation
bin111010011100010…
…001001001000000
32112022221222201211
4322130101021000
54002001120033
6241143135504
733204005560
oct7234211100
92468858654
10980488768
114635077a6
12234444594
1312819838c
149430cda0
155b12a2cd
hex3a711240

980488768 has 112 divisors (see below), whose sum is σ = 2361671680. Its totient is φ = 394523136.

The previous prime is 980488763. The next prime is 980488783. The reversal of 980488768 is 867884089.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9804887682 = 1922716448348315648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (980488763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1080571 + ... + 1081477.

Almost surely, 2980488768 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 980488768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180835840).

980488768 is an abundant number, since it is smaller than the sum of its proper divisors (1381182912).

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

980488768 is a wasteful number, since it uses less digits than its factorization.

980488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 58.

The square root of 980488768 is about 31312.7572723962. The cubic root of 980488768 is about 993.4534927637.

The spelling of 980488768 in words is "nine hundred eighty million, four hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 127 133 152 224 254 266 304 448 508 532 608 889 907 1016 1064 1216 1778 1814 2032 2128 2413 3556 3628 4064 4256 4826 6349 7112 7256 8128 8512 9652 12698 14224 14512 16891 17233 19304 25396 28448 29024 33782 34466 38608 50792 56896 58048 67564 68932 77216 101584 115189 120631 135128 137864 154432 203168 230378 241262 270256 275728 406336 460756 482524 540512 551456 806323 921512 965048 1081024 1102912 1612646 1843024 1930096 2188591 3225292 3686048 3860192 4377182 6450584 7372096 7720384 8754364 12901168 15320137 17508728 25802336 30640274 35017456 51604672 61280548 70034912 122561096 140069824 245122192 490244384 980488768