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40249440 = 253357113
BaseRepresentation
bin1001100110001…
…0100001100000
32210201212212000
42121202201200
540300440230
63554404000
7666054210
oct231424140
983655760
1040249440
11207a1000
1211590600
13845324a
1454ba240
153800b60
hex2662860

40249440 has 384 divisors, whose sum is σ = 177085440. Its totient is φ = 8363520.

The previous prime is 40249423. The next prime is 40249453. The reversal of 40249440 is 4494204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3659035 + ... + 3659045.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 240249440 is an apocalyptic number.

40249440 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 40249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720).

40249440 is an abundant number, since it is smaller than the sum of its proper divisors (136836000).

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

40249440 is a wasteful number, since it uses less digits than its factorization.

40249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40249440 is about 6344.2446358885. The cubic root of 40249440 is about 342.7046107222.

The spelling of 40249440 in words is "forty million, two hundred forty-nine thousand, four hundred forty".