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57639440 = 2454117573
BaseRepresentation
bin1101101111100…
…0001000010000
311000110101110002
43123320020100
5104223430230
65415225132
71266633005
oct333701020
9130411402
1057639440
112a599401
12173781a8
13bc316a1
1479258ac
1550d8545
hex36f8210

57639440 has 40 divisors (see below), whose sum is σ = 137288088. Its totient is φ = 22492160.

The previous prime is 57639409. The next prime is 57639473. The reversal of 57639440 is 4493675.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 56490256 = 1072^2 + 7516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 57639394 and 57639403.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5507 + ... + 12066.

Almost surely, 257639440 is an apocalyptic number.

It is an amenable number.

57639440 is an abundant number, since it is smaller than the sum of its proper divisors (79648648).

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

57639440 is a wasteful number, since it uses less digits than its factorization.

57639440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17627 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 57639440 is about 7592.0642779155. The cubic root of 57639440 is about 386.2838793364.

The spelling of 57639440 in words is "fifty-seven million, six hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 17573 35146 70292 87865 140584 175730 281168 351460 702920 720493 1405840 1440986 2881972 3602465 5763944 7204930 11527888 14409860 28819720 57639440