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442002444 = 2231337731049
BaseRepresentation
bin11010010110000…
…110110000001100
31010210201001100220
4122112012300030
51401123034234
6111505351340
713644646602
oct3226066014
91123631326
10442002444
11207553a84
12104038550
1370759710
14429b9872
1528c0da49
hex1a586c0c

442002444 has 96 divisors (see below), whose sum is σ = 1157419200. Its totient is φ = 130387968.

The previous prime is 442002439. The next prime is 442002497. The reversal of 442002444 is 444200244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420832 + ... + 421880.

It is an arithmetic number, because the mean of its divisors is an integer number (12056450).

Almost surely, 2442002444 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 442002444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578709600).

442002444 is an abundant number, since it is smaller than the sum of its proper divisors (715416756).

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

442002444 is a wasteful number, since it uses less digits than its factorization.

442002444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442002444 is about 21023.8541661609. The cubic root of 442002444 is about 761.7425643003.

Adding to 442002444 its reverse (444200244), we get a palindrome (886202688).

The spelling of 442002444 in words is "four hundred forty-two million, two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 73 74 78 111 146 148 156 219 222 292 438 444 481 876 949 962 1049 1443 1898 1924 2098 2701 2847 2886 3147 3796 4196 5402 5694 5772 6294 8103 10804 11388 12588 13637 16206 27274 32412 35113 38813 40911 54548 70226 76577 77626 81822 105339 116439 140452 153154 155252 163644 210678 229731 232878 306308 421356 459462 465756 504569 918924 995501 1009138 1513707 1991002 2018276 2833349 2986503 3027414 3982004 5666698 5973006 6054828 8500047 11333396 11946012 17000094 34000188 36833537 73667074 110500611 147334148 221001222 442002444