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258019953 = 35310116067
BaseRepresentation
bin11110110000100…
…01001001110001
3122222111202211120
433120101021301
51012023114303
641334132453
76252063522
oct1730211161
9588452746
10258019953
11122711234
12724b1129
13415bcc39
14263a6849
15179ba553
hexf611271

258019953 has 16 divisors (see below), whose sum is σ = 354010176. Its totient is φ = 167086400.

The previous prime is 258019939. The next prime is 258019961. The reversal of 258019953 is 359910852.

It is a cyclic number.

It is not a de Polignac number, because 258019953 - 29 = 258019441 is a prime.

It is a super-2 number, since 2×2580199532 = 133148592292244418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258019453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8026 + ... + 24092.

It is an arithmetic number, because the mean of its divisors is an integer number (22125636).

Almost surely, 2258019953 is an apocalyptic number.

It is an amenable number.

258019953 is a deficient number, since it is larger than the sum of its proper divisors (95990223).

258019953 is a wasteful number, since it uses less digits than its factorization.

258019953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16224.

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 258019953 is about 16062.9995019610. Note that the first 3 decimals coincide. The cubic root of 258019953 is about 636.6260868239.

The spelling of 258019953 in words is "two hundred fifty-eight million, nineteen thousand, nine hundred fifty-three".

Divisors: 1 3 53 101 159 303 5353 16059 16067 48201 851551 1622767 2554653 4868301 86006651 258019953