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442286796 = 22373125479
BaseRepresentation
bin11010010111001…
…100001011001100
31010211020111102110
4122113030023030
51401211134141
6111515424020
713650242610
oct3227141314
91124214373
10442286796
11207728686
12104155010
1370828c83
1442a51340
1528c67e16
hex1a5cc2cc

442286796 has 72 divisors (see below), whose sum is σ = 1218927360. Its totient is φ = 122268960.

The previous prime is 442286791. The next prime is 442286809. The reversal of 442286796 is 697682244.

It is not an unprimeable number, because it can be changed into a prime (442286791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77985 + ... + 83463.

Almost surely, 2442286796 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 442286796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609463680).

442286796 is an abundant number, since it is smaller than the sum of its proper divisors (776640564).

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

442286796 is a wasteful number, since it uses less digits than its factorization.

442286796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5522 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 442286796 is about 21030.6156828563. The cubic root of 442286796 is about 761.9058790755.

The spelling of 442286796 in words is "four hundred forty-two million, two hundred eighty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1922 2604 2883 3844 5479 5766 6727 10958 11532 13454 16437 20181 21916 26908 32874 38353 40362 65748 76706 80724 115059 153412 169849 230118 339698 460236 509547 679396 1019094 1188943 2038188 2377886 3566829 4755772 5265319 7133658 10530638 14267316 15795957 21061276 31591914 36857233 63183828 73714466 110571699 147428932 221143398 442286796