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442662012 = 2232136131543
BaseRepresentation
bin11010011000100…
…111110001111100
31010211221120010100
4122120213301330
51401310141022
6111531441100
713653364542
oct3230476174
91124846110
10442662012
11207964581
121042b6190
137092a9b0
1442b0bd92
1528cde1ac
hex1a627c7c

442662012 has 72 divisors (see below), whose sum is σ = 1207772384. Its totient is φ = 135893376.

The previous prime is 442661993. The next prime is 442662013. The reversal of 442662012 is 210266244.

442662012 is a `hidden beast` number, since 4 + 4 + 26 + 620 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442662013) 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, 286113 + ... + 287655.

Almost surely, 2442662012 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 442662012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603886192).

442662012 is an abundant number, since it is smaller than the sum of its proper divisors (765110372).

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

442662012 is a wasteful number, since it uses less digits than its factorization.

442662012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 442662012 is about 21039.5345005540. The cubic root of 442662012 is about 762.1212736073.

The spelling of 442662012 in words is "four hundred forty-two million, six hundred sixty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 613 1226 1543 1839 2452 3086 3678 4629 5517 6172 7356 7969 9258 11034 13887 15938 18516 20059 22068 23907 27774 31876 40118 47814 55548 60177 71721 80236 95628 120354 143442 180531 240708 286884 361062 722124 945859 1891718 2837577 3783436 5675154 8512731 11350308 12296167 17025462 24592334 34050924 36888501 49184668 73777002 110665503 147554004 221331006 442662012