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4042323200 = 2852631613
BaseRepresentation
bin1111000011110000…
…1111010100000000
3101102201100021222002
43300330033110000
531234313320300
61505041003132
7202113115556
oct36074172400
911381307862
104042323200
111794871283
129499234a8
134c561c826
142a4c0dbd6
15189d355d5
hexf0f0f500

4042323200 has 54 divisors (see below), whose sum is σ = 10005397374. Its totient is φ = 1616926720.

The previous prime is 4042323193. The next prime is 4042323221. The reversal of 4042323200 is 23232404.

It can be written as a sum of positive squares in 3 ways, for example, as 434639104 + 3607684096 = 20848^2 + 60064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 309407 + ... + 322206.

Almost surely, 24042323200 is an apocalyptic number.

4042323200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042323200 is an abundant number, since it is smaller than the sum of its proper divisors (5963074174).

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

4042323200 is an equidigital number, since it uses as much as digits as its factorization.

4042323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631639 (or 631620 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4042323200 is about 63579.2670608902. The cubic root of 4042323200 is about 1592.9800788188.

Adding to 4042323200 its reverse (23232404), we get a palindrome (4065555604).

The spelling of 4042323200 in words is "four billion, forty-two million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 631613 1263226 2526452 3158065 5052904 6316130 10105808 12632260 15790325 20211616 25264520 31580650 40423232 50529040 63161300 80846464 101058080 126322600 161692928 202116160 252645200 404232320 505290400 808464640 1010580800 2021161600 4042323200