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442993496 = 231117928123
BaseRepresentation
bin11010011001111…
…000101101011000
31010212120101211112
4122121320231120
51401401242441
6111542515452
713656245141
oct3231705530
91125511745
10442993496
11208070630
12104435b88
1370a1583a
1442b96ac8
1528d574eb
hex1a678b58

442993496 has 32 divisors (see below), whose sum is σ = 911217600. Its totient is φ = 200228640.

The previous prime is 442993483. The next prime is 442993513. The reversal of 442993496 is 694399244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1691 + ... + 29813.

It is an arithmetic number, because the mean of its divisors is an integer number (28475550).

Almost surely, 2442993496 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 442993496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455608800).

442993496 is an abundant number, since it is smaller than the sum of its proper divisors (468224104).

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

442993496 is a wasteful number, since it uses less digits than its factorization.

442993496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28319 (or 28315 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 50.

The square root of 442993496 is about 21047.4106720993. The cubic root of 442993496 is about 762.3114623348.

The spelling of 442993496 in words is "four hundred forty-two million, nine hundred ninety-three thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 7876 15752 28123 56246 112492 224984 309353 618706 1237412 2474824 5034017 10068034 20136068 40272136 55374187 110748374 221496748 442993496