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257088 = 26313103
BaseRepresentation
bin111110110001000000
3111001122210
4332301000
531211323
65302120
72120346
oct766100
9431583
10257088
11166177
12104940
1390030
1469996
1551293
hex3ec40

257088 has 56 divisors (see below), whose sum is σ = 739648. Its totient is φ = 78336.

The previous prime is 257077. The next prime is 257093. The reversal of 257088 is 880752.

257088 is nontrivially palindromic in base 14.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

257088 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 7 ways as a sum of consecutive naturals, for example, 2445 + ... + 2547.

It is an arithmetic number, because the mean of its divisors is an integer number (13208).

2257088 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 257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369824).

257088 is an abundant number, since it is smaller than the sum of its proper divisors (482560).

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

257088 is a wasteful number, since it uses less digits than its factorization.

257088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 257088 is about 507.0384600797. The cubic root of 257088 is about 63.5858676720.

The spelling of 257088 in words is "two hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 156 192 206 208 309 312 412 416 618 624 824 832 1236 1248 1339 1648 2472 2496 2678 3296 4017 4944 5356 6592 8034 9888 10712 16068 19776 21424 32136 42848 64272 85696 128544 257088