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57386576 = 2413275897
BaseRepresentation
bin1101101011101…
…0011001010000
310222222112120202
43122322121100
5104142332301
65405554332
71264530542
oct332723120
9128875522
1057386576
112a436425
12172759a8
13bb73570
14789b692
15508866b
hex36ba650

57386576 has 20 divisors (see below), whose sum is σ = 119739732. Its totient is φ = 26486016.

The previous prime is 57386569. The next prime is 57386579. The reversal of 57386576 is 67568375.

It is a happy number.

57386576 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 2 ways, for example, as 21864976 + 35521600 = 4676^2 + 5960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57386576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57386579) 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 3 ways as a sum of consecutive naturals, for example, 137741 + ... + 138156.

Almost surely, 257386576 is an apocalyptic number.

It is an amenable number.

57386576 is an abundant number, since it is smaller than the sum of its proper divisors (62353156).

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

57386576 is a wasteful number, since it uses less digits than its factorization.

57386576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275918 (or 275912 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 57386576 is about 7575.3927950965. The cubic root of 57386576 is about 385.7181759879.

The spelling of 57386576 in words is "fifty-seven million, three hundred eighty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 275897 551794 1103588 2207176 3586661 4414352 7173322 14346644 28693288 57386576