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42465618 = 232131731049
BaseRepresentation
bin1010000111111…
…1100101010010
32221220110212200
42201333211102
541332344433
64114104030
71023644316
oct241774522
987813780
1042465618
1121a75058
121227b016
138a4abb0
1458d5b46
153adc613
hex287f952

42465618 has 48 divisors (see below), whose sum is σ = 99754200. Its totient is φ = 12978432.

The previous prime is 42465617. The next prime is 42465653. The reversal of 42465618 is 81656424.

It can be written as a sum of positive squares in 4 ways, for example, as 41951529 + 514089 = 6477^2 + 717^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42465617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39958 + ... + 41006.

Almost surely, 242465618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42465618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49877100).

42465618 is an abundant number, since it is smaller than the sum of its proper divisors (57288582).

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

42465618 is a wasteful number, since it uses less digits than its factorization.

42465618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1240 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42465618 is about 6516.5648926409. The cubic root of 42465618 is about 348.8824709686.

The spelling of 42465618 in words is "forty-two million, four hundred sixty-five thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 173 234 346 519 1038 1049 1557 2098 2249 3114 3147 4498 6294 6747 9441 13494 13637 18882 20241 27274 40482 40911 81822 122733 181477 245466 362954 544431 1088862 1633293 2359201 3266586 4718402 7077603 14155206 21232809 42465618