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5742066 = 2311192241
BaseRepresentation
bin10101111001110111110010
3101210201122010
4111321313302
52432221231
6323023350
766543501
oct25716762
911721563
105742066
113272110
121b0ab56
131260795
14a96838
15786546
hex579df2

5742066 has 48 divisors (see below), whose sum is σ = 13277088. Its totient is φ = 1641600.

The previous prime is 5742053. The next prime is 5742083. The reversal of 5742066 is 6602475.

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, 23706 + ... + 23946.

It is an arithmetic number, because the mean of its divisors is an integer number (276606).

Almost surely, 25742066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638544).

5742066 is an abundant number, since it is smaller than the sum of its proper divisors (7535022).

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

5742066 is a wasteful number, since it uses less digits than its factorization.

5742066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5742066 is about 2396.2608372212. The cubic root of 5742066 is about 179.0699559072.

The spelling of 5742066 in words is "five million, seven hundred forty-two thousand, sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 241 361 418 482 627 722 723 1083 1254 1446 2166 2651 3971 4579 5302 7942 7953 9158 11913 13737 15906 23826 27474 50369 87001 100738 151107 174002 261003 302214 522006 957011 1914022 2871033 5742066