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2802082040 = 2356710310151
BaseRepresentation
bin1010011100000100…
…0110000011111000
321020021121111221022
42213001012003320
521214313111130
61142014202012
7126303206252
oct24701060370
97207544838
102802082040
11120877a78a
126624b3308
133586a8b14
141c8206cd2
15115eeb7e5
hexa70460f8

2802082040 has 64 divisors (see below), whose sum is σ = 6461544960. Its totient is φ = 1093276800.

The previous prime is 2802082027. The next prime is 2802082043. The reversal of 2802082040 is 402802082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2802082043) by changing a digit.

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, 270965 + ... + 281115.

It is an arithmetic number, because the mean of its divisors is an integer number (100961640).

Almost surely, 22802082040 is an apocalyptic number.

2802082040 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 2802082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230772480).

2802082040 is an abundant number, since it is smaller than the sum of its proper divisors (3659462920).

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

2802082040 is a wasteful number, since it uses less digits than its factorization.

2802082040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2802082040 is about 52934.6959942154. The cubic root of 2802082040 is about 1409.8090112353.

The spelling of 2802082040 in words is "two billion, eight hundred two million, eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 103 134 206 268 335 412 515 536 670 824 1030 1340 2060 2680 4120 6901 10151 13802 20302 27604 34505 40604 50755 55208 69010 81208 101510 138020 203020 276040 406040 680117 1045553 1360234 2091106 2720468 3400585 4182212 5227765 5440936 6801170 8364424 10455530 13602340 20911060 27204680 41822120 70052051 140104102 280208204 350260255 560416408 700520510 1401041020 2802082040