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1149780992 = 210172572
BaseRepresentation
bin100010010001000…
…0100010000000000
32222010111221000012
41010202010100000
54323320442432
6310031444052
740330656113
oct10442042000
92863457005
101149780992
11540026528
12281086628
131542904a9
14ac9ba57a
156ae1acb2
hex44884400

1149780992 has 66 divisors (see below), whose sum is σ = 2443147722. Its totient is φ = 538968064.

The previous prime is 1149780977. The next prime is 1149780997. The reversal of 1149780992 is 2990879411.

It can be written as a sum of positive squares in 3 ways, for example, as 999571456 + 150209536 = 31616^2 + 12256^2 .

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1149780992.

It is not an unprimeable number, because it can be changed into a prime (1149780997) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4473728 + ... + 4473984.

Almost surely, 21149780992 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 1149780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221573861).

1149780992 is an abundant number, since it is smaller than the sum of its proper divisors (1293366730).

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

1149780992 is an frugal number, since it uses more digits than its factorization.

1149780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 50.

The square root of 1149780992 is about 33908.4206650796. The cubic root of 1149780992 is about 1047.6230410090.

The spelling of 1149780992 in words is "one billion, one hundred forty-nine million, seven hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 257 272 512 514 544 1024 1028 1088 2056 2176 4112 4352 4369 8224 8704 8738 16448 17408 17476 32896 34952 65792 66049 69904 131584 132098 139808 263168 264196 279616 528392 559232 1056784 1118464 1122833 2113568 2236928 2245666 4227136 4473856 4491332 8454272 8982664 16908544 17965328 33817088 35930656 67634176 71861312 143722624 287445248 574890496 1149780992