Search a number
-
+
257080616 = 23136733673
BaseRepresentation
bin11110101001010…
…11110100101000
3122220202001022022
433110223310220
51011303034431
641302044012
76241102112
oct1724536450
9586661268
10257080616
1112212a521
1272119608
1341351510
14262003b2
151788207b
hexf52bd28

257080616 has 32 divisors (see below), whose sum is σ = 520017960. Its totient is φ = 118444032.

The previous prime is 257080609. The next prime is 257080673. The reversal of 257080616 is 616080752.

It can be written as a sum of positive squares in 4 ways, for example, as 89378116 + 167702500 = 9454^2 + 12950^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68156 + ... + 71828.

Almost surely, 2257080616 is an apocalyptic number.

257080616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257080616 is an abundant number, since it is smaller than the sum of its proper divisors (262937344).

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

257080616 is a wasteful number, since it uses less digits than its factorization.

257080616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 257080616 is about 16033.7336886952. The cubic root of 257080616 is about 635.8525890181.

The spelling of 257080616 in words is "two hundred fifty-seven million, eighty thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 673 1346 2692 3673 5384 7346 8749 14692 17498 29384 34996 47749 69992 95498 190996 381992 2471929 4943858 9887716 19775432 32135077 64270154 128540308 257080616