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42131466 = 23213401449
BaseRepresentation
bin1010000010111…
…0000000001010
32221021111111200
42200232000022
541241201331
64103005030
71021053156
oct240560012
987244450
1042131466
1121866aa3
1212139776
138961a80
14584a066
153a735e6
hex282e00a

42131466 has 48 divisors (see below), whose sum is σ = 98771400. Its totient is φ = 12902400.

The previous prime is 42131431. The next prime is 42131483. The reversal of 42131466 is 66413124.

It can be written as a sum of positive squares in 4 ways, for example, as 40640625 + 1490841 = 6375^2 + 1221^2 .

It is a Curzon 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, 93610 + ... + 94058.

Almost surely, 242131466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385700).

42131466 is an abundant number, since it is smaller than the sum of its proper divisors (56639934).

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

42131466 is a wasteful number, since it uses less digits than its factorization.

42131466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 868 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42131466 is about 6490.8755957883. The cubic root of 42131466 is about 347.9649687290.

The spelling of 42131466 in words is "forty-two million, one hundred thirty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 401 449 802 898 1203 1347 2406 2694 3609 4041 5213 5837 7218 8082 10426 11674 15639 17511 31278 35022 46917 52533 93834 105066 180049 360098 540147 1080294 1620441 2340637 3240882 4681274 7021911 14043822 21065733 42131466