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57779106 = 23711125063
BaseRepresentation
bin1101110001101…
…0001110100010
311000201111000220
43130122032202
5104242412411
65422223510
71301054130
oct334321642
9130644026
1057779106
112a684330
1217424b96
13bc80128
147960750
155114b06
hex371a3a2

57779106 has 32 divisors (see below), whose sum is σ = 144073728. Its totient is φ = 15007440.

The previous prime is 57779101. The next prime is 57779119. The reversal of 57779106 is 60197775.

57779106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57779101) 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 15 ways as a sum of consecutive naturals, for example, 62070 + ... + 62993.

It is an arithmetic number, because the mean of its divisors is an integer number (4502304).

Almost surely, 257779106 is an apocalyptic number.

57779106 is an abundant number, since it is smaller than the sum of its proper divisors (86294622).

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

57779106 is a wasteful number, since it uses less digits than its factorization.

57779106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125086.

The product of its (nonzero) digits is 92610, while the sum is 42.

The square root of 57779106 is about 7601.2568697552. The cubic root of 57779106 is about 386.5956288774.

The spelling of 57779106 in words is "fifty-seven million, seven hundred seventy-nine thousand, one hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 125063 250126 375189 750378 875441 1375693 1750882 2626323 2751386 4127079 5252646 8254158 9629851 19259702 28889553 57779106