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57276 = 22323743
BaseRepresentation
bin1101111110111100
32220120100
431332330
53313101
61121100
7325662
oct157674
986510
1057276
113a03a
1229190
13200bb
1416c32
1511e86
hexdfbc

57276 has 36 divisors (see below), whose sum is σ = 152152. Its totient is φ = 18144.

The previous prime is 57271. The next prime is 57283. The reversal of 57276 is 67275.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57271) by changing a digit.

57276 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1311 + ... + 1353.

257276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76076).

57276 is an abundant number, since it is smaller than the sum of its proper divisors (94876).

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

57276 is a wasteful number, since it uses less digits than its factorization.

57276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 57276 is about 239.3240481021. The cubic root of 57276 is about 38.5470274826.

Subtracting 57276 from its reverse (67275), we obtain a palindrome (9999).

It can be divided in two parts, 57 and 276, that added together give a palindrome (333).

The spelling of 57276 in words is "fifty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 222 258 333 387 444 516 666 774 1332 1548 1591 3182 4773 6364 9546 14319 19092 28638 57276