Search a number
-
+
257948982 = 2334776833
BaseRepresentation
bin11110101111111…
…11110100110110
3122222101011111000
433113333310312
51012013331412
641332424130
76251346564
oct1727776466
9588334430
10257948982
11122672985
1272478046
1341596845
1426388a34
15179a44dc
hexf5ffd36

257948982 has 16 divisors (see below), whose sum is σ = 573220080. Its totient is φ = 85982976.

The previous prime is 257948981. The next prime is 257948989. The reversal of 257948982 is 289849752.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 4776833 = 257948982 / (2 + 5 + 7 + 9 + 4 + 8 + 9 + 8 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257948981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2388363 + ... + 2388470.

It is an arithmetic number, because the mean of its divisors is an integer number (35826255).

Almost surely, 2257948982 is an apocalyptic number.

257948982 is an abundant number, since it is smaller than the sum of its proper divisors (315271098).

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

257948982 is a wasteful number, since it uses less digits than its factorization.

257948982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776844 (or 4776838 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 257948982 is about 16060.7902047191. The cubic root of 257948982 is about 636.5677113214.

The spelling of 257948982 in words is "two hundred fifty-seven million, nine hundred forty-eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 4776833 9553666 14330499 28660998 42991497 85982994 128974491 257948982