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258023933 = 1929597937
BaseRepresentation
bin11110110000100…
…10000111111101
3122222111222021222
433120102013331
51012023231213
641334203125
76252111236
oct1730220775
9588458258
10258023933
11122714222
12724b34a5
13415c19ab
14263a808d
15179bb808
hexf6121fd

258023933 has 16 divisors (see below), whose sum is σ = 285768000. Its totient is φ = 231985152.

The previous prime is 258023929. The next prime is 258023939. The reversal of 258023933 is 339320852.

It is not a de Polignac number, because 258023933 - 22 = 258023929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 258023893 and 258023902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258023939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28541 + ... + 36477.

It is an arithmetic number, because the mean of its divisors is an integer number (17860500).

Almost surely, 2258023933 is an apocalyptic number.

It is an amenable number.

258023933 is a deficient number, since it is larger than the sum of its proper divisors (27744067).

258023933 is a wasteful number, since it uses less digits than its factorization.

258023933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044.

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 258023933 is about 16063.1233886813. The cubic root of 258023933 is about 636.6293601609.

The spelling of 258023933 in words is "two hundred fifty-eight million, twenty-three thousand, nine hundred thirty-three".

Divisors: 1 19 29 59 551 1121 1711 7937 32509 150803 230173 468283 4373287 8897377 13580207 258023933