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2043993402 = 2321117896823
BaseRepresentation
bin111100111010100…
…1101110100111010
312021110010121211100
41321311031310322
513141230242102
6534453512230
7101436441303
oct17165156472
95243117740
102043993402
11959865550
12490642676
1326760b769
1415566b7aa
15be6a2a1c
hex79d4dd3a

2043993402 has 96 divisors (see below), whose sum is σ = 5173683840. Its totient is φ = 576322560.

The previous prime is 2043993353. The next prime is 2043993403.

2043993402 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2043993403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296163 + ... + 302985.

It is an arithmetic number, because the mean of its divisors is an integer number (53892540).

Almost surely, 22043993402 is an apocalyptic number.

2043993402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043993402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586841920).

2043993402 is an abundant number, since it is smaller than the sum of its proper divisors (3129690438).

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

2043993402 is a wasteful number, since it uses less digits than its factorization.

2043993402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2043993402 is about 45210.5452521865. The cubic root of 2043993402 is about 1269.0921658064.

The spelling of 2043993402 in words is "two billion, forty-three million, nine hundred ninety-three thousand, four hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 89 99 102 153 178 187 198 267 306 374 534 561 801 979 1122 1513 1602 1683 1958 2937 3026 3366 4539 5874 6823 8811 9078 13617 13646 16643 17622 20469 27234 33286 40938 49929 61407 75053 99858 115991 122814 149787 150106 225159 231982 299574 347973 450318 607247 675477 695946 1043919 1214494 1275901 1350954 1821741 2087838 2551802 3643482 3827703 5465223 6679717 7655406 10323199 10930446 11483109 13359434 20039151 20646398 22966218 30969597 40078302 60117453 61939194 92908791 113555189 120234906 185817582 227110378 340665567 681331134 1021996701 2043993402