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2850728904 = 233479233239
BaseRepresentation
bin1010100111101010…
…1010101111001000
321100200011000220000
42221322222233020
521314241311104
61150513003000
7130433536662
oct25172525710
97320130800
102850728904
111233186901
12676853460
133657ac34a
141d086b532
1511a40a639
hexa9eaabc8

2850728904 has 160 divisors (see below), whose sum is σ = 8154432000. Its totient is φ = 930279168.

The previous prime is 2850728887. The next prime is 2850728917. The reversal of 2850728904 is 4098270582.

It is a super-3 number, since 3×28507289043 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2850728904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11927617 + ... + 11927855.

It is an arithmetic number, because the mean of its divisors is an integer number (50965200).

Almost surely, 22850728904 is an apocalyptic number.

2850728904 is a gapful number since it is divisible by the number (24) 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 2850728904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077216000).

2850728904 is an abundant number, since it is smaller than the sum of its proper divisors (5303703096).

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

2850728904 is a wasteful number, since it uses less digits than its factorization.

2850728904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2850728904 is about 53392.2176351573. The cubic root of 2850728904 is about 1417.9207988956.

The spelling of 2850728904 in words is "two billion, eight hundred fifty million, seven hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 233 237 239 316 324 466 474 478 632 648 699 711 717 932 948 956 1398 1422 1434 1864 1896 1912 2097 2133 2151 2796 2844 2868 4194 4266 4302 5592 5688 5736 6291 6399 6453 8388 8532 8604 12582 12798 12906 16776 17064 17208 18407 18873 18881 19359 25164 25596 25812 36814 37746 37762 38718 50328 51192 51624 55221 55687 56643 73628 75492 75524 77436 110442 111374 113286 147256 150984 151048 154872 165663 167061 169929 220884 222748 226572 331326 334122 339858 441768 445496 453144 496989 501183 509787 662652 668244 679716 993978 1002366 1019574 1325304 1336488 1359432 1490967 1503549 1529361 1987956 2004732 2039148 2981934 3007098 3058722 3975912 4009464 4078296 4399273 4510647 5963868 6014196 6117444 8798546 9021294 11927736 12028392 12234888 13197819 17597092 18042588 26395638 35194184 36085176 39593457 52791276 79186914 105582552 118780371 158373828 237560742 316747656 356341113 475121484 712682226 950242968 1425364452 2850728904