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40743376 = 2429277317
BaseRepresentation
bin1001101101101…
…1000111010000
32211122222101221
42123123013100
540412242001
64013134424
71003212232
oct233330720
984588357
1040743376
1120aa9113
121178a414
13859700b
1455a8252
15389c1a1
hex26db1d0

40743376 has 40 divisors (see below), whose sum is σ = 82215720. Its totient is φ = 19536384.

The previous prime is 40743371. The next prime is 40743377. The reversal of 40743376 is 67334704.

40743376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90000 + 40653376 = 300^2 + 6376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40743371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128370 + ... + 128686.

It is an arithmetic number, because the mean of its divisors is an integer number (2055393).

Almost surely, 240743376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40743376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41107860).

40743376 is an abundant number, since it is smaller than the sum of its proper divisors (41472344).

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

40743376 is a wasteful number, since it uses less digits than its factorization.

40743376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 40743376 is about 6383.0538145938. The cubic root of 40743376 is about 344.1007907290.

The spelling of 40743376 in words is "forty million, seven hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 277 317 464 554 634 1108 1268 2216 2536 4432 5072 8033 9193 16066 18386 32132 36772 64264 73544 87809 128528 147088 175618 351236 702472 1404944 2546461 5092922 10185844 20371688 40743376