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51957 = 3223251
BaseRepresentation
bin1100101011110101
32122021100
430223311
53130312
61040313
7304323
oct145365
978240
1051957
1136044
1226099
131a859
1414d13
15105dc
hexcaf5

51957 has 12 divisors (see below), whose sum is σ = 78624. Its totient is φ = 33000.

The previous prime is 51949. The next prime is 51971. The reversal of 51957 is 75915.

It is not a de Polignac number, because 51957 - 23 = 51949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

251957 is an apocalyptic number.

It is an amenable number.

51957 is a deficient number, since it is larger than the sum of its proper divisors (26667).

51957 is a wasteful number, since it uses less digits than its factorization.

51957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 51957 is about 227.9407817833. The cubic root of 51957 is about 37.3148203989.

Adding to 51957 its sum of digits (27), we get a square (51984 = 2282).

It can be divided in two parts, 519 and 57, that added together give a square (576 = 242).

The spelling of 51957 in words is "fifty-one thousand, nine hundred fifty-seven".

Divisors: 1 3 9 23 69 207 251 753 2259 5773 17319 51957