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2042402024 = 2313232929443
BaseRepresentation
bin111100110111100…
…1001010011101000
312021100010202212102
41321233021103220
513140323331044
6534355432532
7101420062565
oct17157112350
95240122772
102042402024
11958978963
1248bbb5748
132671a2310
1415537586c
15be48b24e
hex79bc94e8

2042402024 has 64 divisors (see below), whose sum is σ = 4451932800. Its totient is φ = 870541056.

The previous prime is 2042402023. The next prime is 2042402039. The reversal of 2042402024 is 4202042402.

It is a junction number, because it is equal to n+sod(n) for n = 2042401987 and 2042402005.

It is not an unprimeable number, because it can be changed into a prime (2042402023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54647 + ... + 84089.

It is an arithmetic number, because the mean of its divisors is an integer number (69561450).

Almost surely, 22042402024 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 2042402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225966400).

2042402024 is an abundant number, since it is smaller than the sum of its proper divisors (2409530776).

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

2042402024 is a wasteful number, since it uses less digits than its factorization.

2042402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29514 (or 29510 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2042402024 is about 45192.9421923380. The cubic root of 2042402024 is about 1268.7627241511.

Adding to 2042402024 its reverse (4202042402), we get a palindrome (6244444426).

The spelling of 2042402024 in words is "two billion, forty-two million, four hundred two thousand, twenty-four".

Divisors: 1 2 4 8 13 23 26 29 46 52 58 92 104 116 184 232 299 377 598 667 754 1196 1334 1508 2392 2668 3016 5336 8671 17342 29443 34684 58886 69368 117772 235544 382759 677189 765518 853847 1354378 1531036 1707694 2708756 3062072 3415388 5417512 6830776 8803457 11100011 17606914 19638481 22200022 35213828 39276962 44400044 70427656 78553924 88800088 157107848 255300253 510600506 1021201012 2042402024