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849996096 = 26323712711
BaseRepresentation
bin110010101010011…
…110100101000000
32012020102021102220
4302222132211000
53220044333341
6220202211040
730030563505
oct6252364500
92166367386
10849996096
113a6889714
121b87b3a80
13107139591
1480c614ac
154e950a66
hex32a9e940

849996096 has 112 divisors (see below), whose sum is σ = 2380658688. Its totient is φ = 267097600.

The previous prime is 849996089. The next prime is 849996137. The reversal of 849996096 is 690699948.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312181 + ... + 314891.

Almost surely, 2849996096 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 849996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190329344).

849996096 is an abundant number, since it is smaller than the sum of its proper divisors (1530662592).

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

849996096 is a wasteful number, since it uses less digits than its factorization.

849996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The square root of 849996096 is about 29154.6925211020. The cubic root of 849996096 is about 947.2667869346.

The spelling of 849996096 in words is "eight hundred forty-nine million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 138 142 184 192 213 276 284 368 426 552 568 736 852 1104 1136 1472 1633 1704 2208 2272 2711 3266 3408 4416 4544 4899 5422 6532 6816 8133 9798 10844 13064 13632 16266 19596 21688 26128 32532 39192 43376 52256 62353 65064 78384 86752 104512 124706 130128 156768 173504 187059 192481 249412 260256 313536 374118 384962 498824 520512 577443 748236 769924 997648 1154886 1496472 1539848 1995296 2309772 2992944 3079696 3990592 4427063 4619544 5985888 6159392 8854126 9239088 11971776 12318784 13281189 17708252 18478176 26562378 35416504 36956352 53124756 70833008 106249512 141666016 212499024 283332032 424998048 849996096