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42030066 = 2313599133
BaseRepresentation
bin1010000001010…
…1001111110010
32221002100102010
42200111033302
541224430231
64100503350
71020151431
oct240251762
987070363
1042030066
11217a78a1
12120aab56
138927880
145821118
153a53546
hex28153f2

42030066 has 32 divisors (see below), whose sum is σ = 92070720. Its totient is φ = 12711744.

The previous prime is 42030047. The next prime is 42030089. The reversal of 42030066 is 66003024.

It is a Curzon 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, 36 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (2877210).

Almost surely, 242030066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46035360).

42030066 is an abundant number, since it is smaller than the sum of its proper divisors (50040654).

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

42030066 is a wasteful number, since it uses less digits than its factorization.

42030066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 42030066 is about 6483.0599256832. The cubic root of 42030066 is about 347.6855893211.

The spelling of 42030066 in words is "forty-two million, thirty thousand, sixty-six", and thus it is an eban number.

Divisors: 1 2 3 6 13 26 39 59 78 118 177 354 767 1534 2301 4602 9133 18266 27399 54798 118729 237458 356187 538847 712374 1077694 1616541 3233082 7005011 14010022 21015033 42030066