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442494696 = 233751097
BaseRepresentation
bin11010010111111…
…110111011101000
31010211122001121110
4122113332323220
51401234312241
6111524110320
713652100000
oct3227767350
91124561543
10442494696
1120785a8a6
121042353a0
137089c7a7
1442aa7000
1528ca9816
hex1a5feee8

442494696 has 96 divisors (see below), whose sum is σ = 1291775040. Its totient is φ = 126311808.

The previous prime is 442494691. The next prime is 442494719. The reversal of 442494696 is 696494244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442494691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402820 + ... + 403916.

It is an arithmetic number, because the mean of its divisors is an integer number (13455990).

Almost surely, 2442494696 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 442494696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645887520).

442494696 is an abundant number, since it is smaller than the sum of its proper divisors (849280344).

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

442494696 is an equidigital number, since it uses as much as digits as its factorization.

442494696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1109 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 442494696 is about 21035.5578960958. The cubic root of 442494696 is about 762.0252401033.

The spelling of 442494696 in words is "four hundred forty-two million, four hundred ninety-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1097 1176 1372 2058 2194 2401 2744 3291 4116 4388 4802 6582 7203 7679 8232 8776 9604 13164 14406 15358 16807 19208 23037 26328 28812 30716 33614 46074 50421 53753 57624 61432 67228 92148 100842 107506 134456 161259 184296 201684 215012 322518 376271 403368 430024 645036 752542 1128813 1290072 1505084 2257626 2633897 3010168 4515252 5267794 7901691 9030504 10535588 15803382 18437279 21071176 31606764 36874558 55311837 63213528 73749116 110623674 147498232 221247348 442494696