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56442006 = 23217672753
BaseRepresentation
bin1101011101001…
…1110010010110
310221012112212200
43113103302112
5103422121011
65333425330
71253514645
oct327236226
9127175780
1056442006
1129950795
1216a9b246
13b90264a
1476d335c
154e4d856
hex35d3c96

56442006 has 48 divisors (see below), whose sum is σ = 131464944. Its totient is φ = 17436672.

The previous prime is 56441993. The next prime is 56442011. The reversal of 56442006 is 60024465.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19126 + ... + 21878.

It is an arithmetic number, because the mean of its divisors is an integer number (2738853).

Almost surely, 256442006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56442006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65732472).

56442006 is an abundant number, since it is smaller than the sum of its proper divisors (75022938).

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

56442006 is a wasteful number, since it uses less digits than its factorization.

56442006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56442006 is about 7512.7894952541. The cubic root of 56442006 is about 383.5901796407.

The spelling of 56442006 in words is "fifty-six million, four hundred forty-two thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1139 1206 2278 2753 3417 5506 6834 8259 10251 16518 20502 24777 46801 49554 93602 140403 184451 280806 368902 421209 553353 842418 1106706 1660059 3135667 3320118 6271334 9407001 18814002 28221003 56442006