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442813686 = 23731032089
BaseRepresentation
bin11010011001001…
…100110011110110
31010212020021011220
4122121030303312
51401330014221
6111535011210
713654566000
oct3231146366
91125207156
10442813686
11207a58527
12104369b06
1370981a43
1442b4b370
1528d1e0c6
hex1a64ccf6

442813686 has 64 divisors (see below), whose sum is σ = 1043328000. Its totient is φ = 125229888.

The previous prime is 442813681. The next prime is 442813711. The reversal of 442813686 is 686318244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442813681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210930 + ... + 213018.

It is an arithmetic number, because the mean of its divisors is an integer number (16302000).

Almost surely, 2442813686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442813686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521664000).

442813686 is an abundant number, since it is smaller than the sum of its proper divisors (600514314).

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

442813686 is a wasteful number, since it uses less digits than its factorization.

442813686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2204 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 442813686 is about 21043.1386917446. The cubic root of 442813686 is about 762.2083082440.

The spelling of 442813686 in words is "four hundred forty-two million, eight hundred thirteen thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 147 206 294 309 343 618 686 721 1029 1442 2058 2089 2163 4178 4326 5047 6267 10094 12534 14623 15141 29246 30282 35329 43869 70658 87738 102361 105987 204722 211974 215167 307083 430334 614166 645501 716527 1291002 1433054 1506169 2149581 3012338 4299162 4518507 9037014 10543183 21086366 31629549 63259098 73802281 147604562 221406843 442813686