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57552642 = 2327456767
BaseRepresentation
bin1101101110001…
…0111100000010
311000021222101100
43123202330002
5104213141032
65413315230
71266121650
oct333427402
9130258340
1057552642
112a53a174
1217335b16
13bc01024
147901dd0
1550bc97c
hex36e2f02

57552642 has 24 divisors (see below), whose sum is σ = 142511616. Its totient is φ = 16443576.

The previous prime is 57552641. The next prime is 57552659. The reversal of 57552642 is 24625575.

57552642 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 2 + 642 = 666.

57552642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57552597 and 57552606.

It is not an unprimeable number, because it can be changed into a prime (57552641) 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 11 ways as a sum of consecutive naturals, for example, 228258 + ... + 228509.

It is an arithmetic number, because the mean of its divisors is an integer number (5937984).

Almost surely, 257552642 is an apocalyptic number.

57552642 is an abundant number, since it is smaller than the sum of its proper divisors (84958974).

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

57552642 is a wasteful number, since it uses less digits than its factorization.

57552642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456782 (or 456779 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 57552642 is about 7586.3457606413. The cubic root of 57552642 is about 386.0898830479.

The spelling of 57552642 in words is "fifty-seven million, five hundred fifty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 456767 913534 1370301 2740602 3197369 4110903 6394738 8221806 9592107 19184214 28776321 57552642