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40205466 = 2327615231
BaseRepresentation
bin1001100101011…
…1110010011010
32210122122112100
42121113302122
540243033331
63553424230
7665512050
oct231276232
983578470
1040205466
1120770a64
121156b076
138439222
1454a81d0
1537e2ae6
hex2657c9a

40205466 has 48 divisors (see below), whose sum is σ = 101207808. Its totient is φ = 11296800.

The previous prime is 40205447. The next prime is 40205471. The reversal of 40205466 is 66450204.

It is a happy number.

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, 5071 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (2108496).

Almost surely, 240205466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40205466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50603904).

40205466 is an abundant number, since it is smaller than the sum of its proper divisors (61002342).

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

40205466 is a wasteful number, since it uses less digits than its factorization.

40205466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40205466 is about 6340.7780279710. The cubic root of 40205466 is about 342.5797594274.

The spelling of 40205466 in words is "forty million, two hundred five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 5231 7686 10462 15693 31386 36617 47079 73234 94158 109851 219702 319091 329553 638182 659106 957273 1914546 2233637 2871819 4467274 5743638 6700911 13401822 20102733 40205466