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1089882688 = 26974192
BaseRepresentation
bin100000011110110…
…0100101001000000
32210221210202222111
41000331210221000
54213002221223
6300051545104
736002564356
oct10075445100
92727722874
101089882688
1150a234aa4
12264bbb194
13144a4a8cb
14a4a677d6
1565a3830d
hex40f64a40

1089882688 has 42 divisors (see below), whose sum is σ = 2190259526. Its totient is φ = 538036224.

The previous prime is 1089882683. The next prime is 1089882691. The reversal of 1089882688 is 8862889801.

It can be written as a sum of positive squares in only one way, i.e., 910108224 + 179774464 = 30168^2 + 13408^2 .

It is a super-3 number, since 3×10898826883 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1089882683) 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 5 ways as a sum of consecutive naturals, for example, 2600943 + ... + 2601361.

Almost surely, 21089882688 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 1089882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095129763).

1089882688 is an abundant number, since it is smaller than the sum of its proper divisors (1100376838).

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

1089882688 is an frugal number, since it uses more digits than its factorization.

1089882688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 58.

The square root of 1089882688 is about 33013.3713516205. The cubic root of 1089882688 is about 1029.1055445249.

The spelling of 1089882688 in words is "one billion, eighty-nine million, eight hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 97 194 388 419 776 838 1552 1676 3104 3352 6208 6704 13408 26816 40643 81286 162572 175561 325144 351122 650288 702244 1300576 1404488 2601152 2808976 5617952 11235904 17029417 34058834 68117668 136235336 272470672 544941344 1089882688