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57666102 = 231319167233
BaseRepresentation
bin1101101111111…
…0101000110110
311000111202000120
43123332220312
5104230303402
65415552410
71300103514
oct333765066
9130452016
1057666102
112a60743a
121738b706
13bc40870
1479314b4
1550e13bc
hex36fea36

57666102 has 64 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 16637184.

The previous prime is 57666101. The next prime is 57666109. The reversal of 57666102 is 20166675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57666101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247378 + ... + 247610.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 257666102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57666102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

57666102 is an abundant number, since it is smaller than the sum of its proper divisors (74422218).

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

57666102 is a wasteful number, since it uses less digits than its factorization.

57666102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 57666102 is about 7593.8199873318. The cubic root of 57666102 is about 386.3434306506.

The spelling of 57666102 in words is "fifty-seven million, six hundred sixty-six thousand, one hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 167 233 247 334 466 494 501 699 741 1002 1398 1482 2171 3029 3173 4342 4427 6058 6346 6513 8854 9087 9519 13026 13281 18174 19038 26562 38911 41249 57551 77822 82498 115102 116733 123747 172653 233466 247494 345306 505843 739309 1011686 1478618 1517529 2217927 3035058 4435854 9611017 19222034 28833051 57666102