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258385149 = 32114196229
BaseRepresentation
bin11110110011010…
…10010011111101
3200000012022210100
433121222103331
51012121311044
641350031313
76255144321
oct1731522375
9600168710
10258385149
11122940650
1272648539
13416ba229
142645d981
1517a3d869
hexf66a4fd

258385149 has 24 divisors (see below), whose sum is σ = 408189600. Its totient is φ = 156198240.

The previous prime is 258385147. The next prime is 258385163. The reversal of 258385149 is 941583852.

258385149 is a `hidden beast` number, since 258 + 385 + 14 + 9 = 666.

It is not a de Polignac number, because 258385149 - 21 = 258385147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258385147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38367 + ... + 44595.

It is an arithmetic number, because the mean of its divisors is an integer number (17007900).

Almost surely, 2258385149 is an apocalyptic number.

It is an amenable number.

258385149 is a deficient number, since it is larger than the sum of its proper divisors (149804451).

258385149 is a wasteful number, since it uses less digits than its factorization.

258385149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 6662 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 258385149 is about 16074.3630978027. The cubic root of 258385149 is about 636.9263009419.

The spelling of 258385149 in words is "two hundred fifty-eight million, three hundred eighty-five thousand, one hundred forty-nine".

Divisors: 1 3 9 11 33 99 419 1257 3771 4609 6229 13827 18687 41481 56061 68519 205557 616671 2609951 7829853 23489559 28709461 86128383 258385149