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42871374 = 23272133739
BaseRepresentation
bin1010001110001…
…0101001001110
32222200002110200
42203202221032
541433340444
64130514330
71030254300
oct243425116
988602420
1042871374
1122221997
12124359a6
138b607a0
14599d970
153b6c969
hex28e2a4e

42871374 has 72 divisors (see below), whose sum is σ = 116396280. Its totient is φ = 11303712.

The previous prime is 42871373. The next prime is 42871403. The reversal of 42871374 is 47317824.

It is a happy number.

42871374 is a `hidden beast` number, since 4 + 287 + 1 + 374 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42871373) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9597 + ... + 13335.

It is an arithmetic number, because the mean of its divisors is an integer number (1616615).

Almost surely, 242871374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42871374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58198140).

42871374 is an abundant number, since it is smaller than the sum of its proper divisors (73524906).

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

42871374 is a wasteful number, since it uses less digits than its factorization.

42871374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3764 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 42871374 is about 6547.6235383534. The cubic root of 42871374 is about 349.9901330552.

The spelling of 42871374 in words is "forty-two million, eight hundred seventy-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3739 3822 5733 7478 11217 11466 22434 26173 33651 48607 52346 67302 78519 97214 145821 157038 183211 235557 291642 340249 366422 437463 471114 549633 680498 874926 1020747 1099266 1648899 2041494 2381743 3062241 3297798 4763486 6124482 7145229 14290458 21435687 42871374