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40284937 = 71123343
BaseRepresentation
bin1001100110101…
…1001100001001
32210210200112201
42121223030021
540303104222
63555240201
7666262540
oct231531411
983720481
1040284937
1120815740
12115a9061
138466454
1454c9157
15380b427
hex266b309

40284937 has 32 divisors (see below), whose sum is σ = 53729280. Its totient is φ = 29327760.

The previous prime is 40284913. The next prime is 40284967. The reversal of 40284937 is 73948204.

It is a happy number.

It is not a de Polignac number, because 40284937 - 27 = 40284809 is a prime.

It is a super-2 number, since 2×402849372 = 3245752298187938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40284896 and 40284905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40284967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936838 + ... + 936880.

It is an arithmetic number, because the mean of its divisors is an integer number (1679040).

Almost surely, 240284937 is an apocalyptic number.

It is an amenable number.

40284937 is a deficient number, since it is larger than the sum of its proper divisors (13444343).

40284937 is an equidigital number, since it uses as much as digits as its factorization.

40284937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 40284937 is about 6347.0415943178. The cubic root of 40284937 is about 342.8053277435.

The spelling of 40284937 in words is "forty million, two hundred eighty-four thousand, nine hundred thirty-seven".

Divisors: 1 7 11 23 43 77 161 253 301 473 529 989 1771 3311 3703 5819 6923 10879 12167 22747 40733 76153 85169 133837 159229 250217 523181 936859 1751519 3662267 5754991 40284937