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40444957 = 747269457
BaseRepresentation
bin1001101001001…
…0010000011101
32211002211001101
42122102100131
540323214312
64002513101
71000530220
oct232222035
984084041
1040444957
1120914993
1211665791
1384c1237
14552b5b7
15383da57
hex269241d

40444957 has 16 divisors (see below), whose sum is σ = 47485440. Its totient is φ = 33729408.

The previous prime is 40444951. The next prime is 40444973. The reversal of 40444957 is 75944404.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 40444957 - 23 = 40444949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88273 + ... + 88729.

It is an arithmetic number, because the mean of its divisors is an integer number (2967840).

Almost surely, 240444957 is an apocalyptic number.

40444957 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

40444957 is a deficient number, since it is larger than the sum of its proper divisors (7040483).

40444957 is a wasteful number, since it uses less digits than its factorization.

40444957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 40444957 is about 6359.6349738016. The cubic root of 40444957 is about 343.2586256739.

The spelling of 40444957 in words is "forty million, four hundred forty-four thousand, nine hundred fifty-seven".

Divisors: 1 7 47 269 329 457 1883 3199 12643 21479 88501 122933 150353 860531 5777851 40444957