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2828946640 = 2451323227521
BaseRepresentation
bin1010100010011110…
…0100110011010000
321022011011101020111
42220213210303100
521243202243030
61144414051104
7130050435562
oct25047446320
97264141214
102828946640
111221959533
1266b4a9a94
13361123930
141cb9db332
1511855662a
hexa89e4cd0

2828946640 has 160 divisors (see below), whose sum is σ = 7438023936. Its totient is φ = 992808960.

The previous prime is 2828946619. The next prime is 2828946641. The reversal of 2828946640 is 466498282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828946641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5429580 + ... + 5430100.

Almost surely, 22828946640 is an apocalyptic number.

2828946640 is a gapful number since it is divisible by the number (20) 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 2828946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719011968).

2828946640 is an abundant number, since it is smaller than the sum of its proper divisors (4609077296).

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

2828946640 is a wasteful number, since it uses less digits than its factorization.

2828946640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The square root of 2828946640 is about 53187.8429718672. The cubic root of 2828946640 is about 1414.3001429480.

The spelling of 2828946640 in words is "two billion, eight hundred twenty-eight million, nine hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 227 230 260 299 368 454 460 520 521 598 908 920 1040 1042 1135 1196 1495 1816 1840 2084 2270 2392 2605 2951 2990 3632 4168 4540 4784 5210 5221 5902 5980 6773 8336 9080 10420 10442 11804 11960 11983 13546 14755 18160 20840 20884 23608 23920 23966 26105 27092 29510 33865 41680 41768 47216 47932 52210 54184 59020 59915 67730 67873 83536 95864 104420 108368 118040 118267 119830 135460 135746 155779 191728 208840 236080 236534 239660 270920 271492 311558 339365 417680 473068 479320 541840 542984 591335 623116 678730 778895 946136 958640 1085968 1182670 1246232 1357460 1537471 1557790 1892272 2365340 2492464 2714920 2720141 3074942 3115580 4730680 5429840 5440282 6149884 6231160 7687355 9461360 10880564 12299768 12462320 13600705 15374710 21761128 24599536 27201410 30749420 35361833 43522256 54402820 61498840 70723666 108805640 122997680 141447332 176809165 217611280 282894664 353618330 565789328 707236660 1414473320 2828946640