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40227840 = 21034597
BaseRepresentation
bin1001100101110…
…1010000000000
32210200210020000
42121131100000
540244242330
63554120000
7665634222
oct231352000
983623200
1040227840
1120786854
1211580000
138446473
1454b2412
1537e9560
hex265d400

40227840 has 220 divisors, whose sum is σ = 145639956. Its totient is φ = 10616832.

The previous prime is 40227823. The next prime is 40227841. The reversal of 40227840 is 4872204.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 23970816 = 4032^2 + 4896^2 .

It is a super-2 number, since 2×402278402 = 3236558222131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40227841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414672 + ... + 414768.

Almost surely, 240227840 is an apocalyptic number.

40227840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72819978).

40227840 is an abundant number, since it is smaller than the sum of its proper divisors (105412116).

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

40227840 is an equidigital number, since it uses as much as digits as its factorization.

40227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40227840 is about 6342.5420771170. The cubic root of 40227840 is about 342.6432952176.

The spelling of 40227840 in words is "forty million, two hundred twenty-seven thousand, eight hundred forty".