Search a number
-
+
1085498496 = 273611633
BaseRepresentation
bin100000010110011…
…0110010010000000
32210122120001000000
41000230312102000
54210341422441
6255414000000
735620404435
oct10054662200
92718501000
101085498496
115078100a5
12263646000
13143b74204
14a4245b8c
156546e2b6
hex40b36480

1085498496 has 112 divisors (see below), whose sum is σ = 3242570310. Its totient is φ = 361801728.

The previous prime is 1085498483. The next prime is 1085498527. The reversal of 1085498496 is 6948945801.

1085498496 is a `hidden beast` number, since 1 + 0 + 8 + 549 + 8 + 4 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 850305600 + 235192896 = 29160^2 + 15336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 87496 + ... + 99128.

Almost surely, 21085498496 is an apocalyptic number.

1085498496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085498496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621285155).

1085498496 is an abundant number, since it is smaller than the sum of its proper divisors (2157071814).

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

1085498496 is an frugal number, since it uses more digits than its factorization.

1085498496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1085498496 is about 32946.9041944763. The cubic root of 1085498496 is about 1027.7237873688.

The spelling of 1085498496 in words is "one billion, eighty-five million, four hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11633 11664 15552 23266 23328 31104 34899 46532 46656 69798 93064 93312 104697 139596 186128 209394 279192 314091 372256 418788 558384 628182 744512 837576 942273 1116768 1256364 1489024 1675152 1884546 2233536 2512728 2826819 3350304 3769092 4467072 5025456 5653638 6700608 7538184 8480457 10050912 11307276 13401216 15076368 16960914 20101824 22614552 30152736 33921828 40203648 45229104 60305472 67843656 90458208 120610944 135687312 180916416 271374624 361832832 542749248 1085498496