Search a number
-
+
2042232440 = 2351711812543
BaseRepresentation
bin111100110111001…
…1111111001111000
312021022211011020112
41321232133321320
513140302414230
6534352043452
7101415455303
oct17156377170
95238734215
102042232440
11958872506
1248bb33588
13267143081
1415532db3a
15be455d95
hex79b9fe78

2042232440 has 64 divisors (see below), whose sum is σ = 4871352960. Its totient is φ = 767887360.

The previous prime is 2042232419. The next prime is 2042232487. The reversal of 2042232440 is 442322402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801809 + ... + 804351.

It is an arithmetic number, because the mean of its divisors is an integer number (76114890).

Almost surely, 22042232440 is an apocalyptic number.

2042232440 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 2042232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435676480).

2042232440 is an abundant number, since it is smaller than the sum of its proper divisors (2829120520).

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

2042232440 is a wasteful number, since it uses less digits than its factorization.

2042232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2042232440 is about 45191.0659312214. The cubic root of 2042232440 is about 1268.7276073604.

Adding to 2042232440 its reverse (442322402), we get a palindrome (2484554842).

The spelling of 2042232440 in words is "two billion, forty-two million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1181 2362 2543 4724 5086 5905 9448 10172 11810 12715 20077 20344 23620 25430 40154 43231 47240 50860 80308 86462 100385 101720 160616 172924 200770 216155 345848 401540 432310 803080 864620 1729240 3003283 6006566 12013132 15016415 24026264 30032830 51055811 60065660 102111622 120131320 204223244 255279055 408446488 510558110 1021116220 2042232440