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442927772 = 227191575303
BaseRepresentation
bin11010011001101…
…000101010011100
31010212110001200022
4122121220222130
51401342142042
6111541251312
713655552420
oct3231505234
91125401608
10442927772
11208026211
12104403b38
13709c1951
1442b7ab80
1528d42cd2
hex1a668a9c

442927772 has 48 divisors (see below), whose sum is σ = 938595840. Its totient is φ = 178656192.

The previous prime is 442927769. The next prime is 442927781. The reversal of 442927772 is 277729244.

It is a super-2 number, since 2×4429277722 = 392370022417767968, which contains 22 as substring.

Its product of digits (395136) is a multiple of the sum of its prime divisors (5488).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80873 + ... + 86175.

It is an arithmetic number, because the mean of its divisors is an integer number (19554080).

Almost surely, 2442927772 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 442927772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469297920).

442927772 is an abundant number, since it is smaller than the sum of its proper divisors (495668068).

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

442927772 is a wasteful number, since it uses less digits than its factorization.

442927772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5488 counting only the distinct ones).

The product of its digits is 395136, while the sum is 44.

The square root of 442927772 is about 21045.8492819843. The cubic root of 442927772 is about 762.2737607756.

The spelling of 442927772 in words is "four hundred forty-two million, nine hundred twenty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 157 266 314 532 628 1099 2198 2983 4396 5303 5966 10606 11932 20881 21212 37121 41762 74242 83524 100757 148484 201514 403028 705299 832571 1410598 1665142 2821196 3330284 5827997 11655994 15818849 23311988 31637698 63275396 110731943 221463886 442927772