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2850830496 = 253223479157
BaseRepresentation
bin1010100111101100…
…0011100010100000
321100200100012020200
42221323003202200
521314303033441
61150515105200
7130434442113
oct25173034240
97320305220
102850830496
111233246168
126768a2200
13365816667
141d089657a
1511a42a7b6
hexa9ec38a0

2850830496 has 144 divisors (see below), whose sum is σ = 8640463104. Its totient is φ = 889523712.

The previous prime is 2850830483. The next prime is 2850830513. The reversal of 2850830496 is 6940380582.

2850830496 is a `hidden beast` number, since 2 + 85 + 0 + 83 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306750 + ... + 315906.

It is an arithmetic number, because the mean of its divisors is an integer number (60003216).

Almost surely, 22850830496 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 2850830496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320231552).

2850830496 is an abundant number, since it is smaller than the sum of its proper divisors (5789632608).

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

2850830496 is a wasteful number, since it uses less digits than its factorization.

2850830496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2850830496 is about 53393.1690012870. The cubic root of 2850830496 is about 1417.9376422719.

The spelling of 2850830496 in words is "two billion, eight hundred fifty million, eight hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 69 72 92 94 96 138 141 144 184 188 207 276 282 288 368 376 414 423 552 564 736 752 828 846 1081 1104 1128 1504 1656 1692 2162 2208 2256 3243 3312 3384 4324 4512 6486 6624 6768 8648 9157 9729 12972 13536 17296 18314 19458 25944 27471 34592 36628 38916 51888 54942 73256 77832 82413 103776 109884 146512 155664 164826 210611 219768 293024 311328 329652 421222 430379 439536 631833 659304 842444 860758 879072 1263666 1291137 1318608 1684888 1721516 1895499 2527332 2582274 2637216 3369776 3443032 3790998 3873411 5054664 5164548 6739552 6886064 7581996 7746822 9898717 10109328 10329096 13772128 15163992 15493644 19797434 20218656 20658192 29696151 30327984 30987288 39594868 41316384 59392302 60655968 61974576 79189736 89088453 118784604 123949152 158379472 178176906 237569208 316758944 356353812 475138416 712707624 950276832 1425415248 2850830496