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1097828992 = 2713171972
BaseRepresentation
bin100000101101111…
…1000101010000000
32211111202111021001
41001123320222000
54222021011432
6300534141344
736130251421
oct10133705200
92744674231
101097828992
11513772197
122677b1854
131465a0770
14a5b35648
15665a79e7
hex416f8a80

1097828992 has 96 divisors (see below), whose sum is σ = 2506589820. Its totient is φ = 474464256.

The previous prime is 1097828971. The next prime is 1097829049. The reversal of 1097828992 is 2998287901.

It can be written as a sum of positive squares in 6 ways, for example, as 1058591296 + 39237696 = 32536^2 + 6264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5572638 + ... + 5572834.

Almost surely, 21097828992 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 1097828992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253294910).

1097828992 is an abundant number, since it is smaller than the sum of its proper divisors (1408760828).

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

1097828992 is an equidigital number, since it uses as much as digits as its factorization.

1097828992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 55.

The square root of 1097828992 is about 33133.5025616067. The cubic root of 1097828992 is about 1031.6005504935.

The spelling of 1097828992 in words is "one billion, ninety-seven million, eight hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 197 208 221 272 394 416 442 544 788 832 884 1088 1576 1664 1768 2176 2561 3152 3349 3536 5122 6304 6698 7072 10244 12608 13396 14144 20488 25216 26792 28288 38809 40976 43537 53584 77618 81952 87074 107168 155236 163904 174148 214336 310472 327808 348296 428672 504517 620944 659753 696592 1009034 1241888 1319506 1393184 2018068 2483776 2639012 2786368 4036136 4967552 5278024 5572736 8072272 8576789 10556048 16144544 17153578 21112096 32289088 34307156 42224192 64578176 68614312 84448384 137228624 274457248 548914496 1097828992