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258404985 = 3857877
BaseRepresentation
bin11110110011011…
…11001001111001
3200000020100000000
433121233021321
51012122424420
641350303213
76255256206
oct1731571171
9600210000
10258404985
11122954543
1272657b09
13416c6277
1426466cad
1517a44690
hexf66f279

258404985 has 36 divisors (see below), whose sum is σ = 465164388. Its totient is φ = 137798496.

The previous prime is 258404963. The next prime is 258404987. The reversal of 258404985 is 589404852.

It can be written as a sum of positive squares in 2 ways, for example, as 64304361 + 194100624 = 8019^2 + 13932^2 .

It is not a de Polignac number, because 258404985 - 27 = 258404857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 258404985.

It is not an unprimeable number, because it can be changed into a prime (258404987) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28867 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (12921233).

Almost surely, 2258404985 is an apocalyptic number.

It is an amenable number.

258404985 is a deficient number, since it is larger than the sum of its proper divisors (206759403).

258404985 is an frugal number, since it uses more digits than its factorization.

258404985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7906 (or 7885 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 258404985 is about 16074.9800933003. The cubic root of 258404985 is about 636.9425992816.

The spelling of 258404985 in words is "two hundred fifty-eight million, four hundred four thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3645 6561 7877 10935 23631 32805 39385 70893 118155 212679 354465 638037 1063395 1914111 3190185 5742333 9570555 17226999 28711665 51680997 86134995 258404985