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2890335084 = 2237134216287
BaseRepresentation
bin1010110001000111…
…0000001101101100
321110102200020100120
42230101300031230
521404411210314
61154445524540
7131424304620
oct25421601554
97412606316
102890335084
11125357858a
12687b73750
13370a68860
141d5c1b180
1511db308a9
hexac47036c

2890335084 has 96 divisors (see below), whose sum is σ = 8321488896. Its totient is φ = 760354560.

The previous prime is 2890335059. The next prime is 2890335113. The reversal of 2890335084 is 4805330982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456589 + ... + 462875.

It is an arithmetic number, because the mean of its divisors is an integer number (86682176).

Almost surely, 22890335084 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 2890335084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160744448).

2890335084 is an abundant number, since it is smaller than the sum of its proper divisors (5431153812).

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

2890335084 is a wasteful number, since it uses less digits than its factorization.

2890335084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2890335084 is about 53761.8366873752. The cubic root of 2890335084 is about 1424.4571785385.

The spelling of 2890335084 in words is "two billion, eight hundred ninety million, three hundred thirty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 421 546 842 1092 1263 1684 2526 2947 5052 5473 5894 6287 8841 10946 11788 12574 16419 17682 18861 21892 25148 32838 35364 37722 38311 44009 65676 75444 76622 81731 88018 114933 132027 153244 163462 176036 229866 245193 264054 326924 459732 490386 528108 572117 980772 1144234 1716351 2288468 2646827 3432702 5293654 6865404 7940481 10587308 15880962 18527789 31761924 34408751 37055578 55583367 68817502 74111156 103226253 111166734 137635004 206452506 222333468 240861257 412905012 481722514 722583771 963445028 1445167542 2890335084