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258023928 = 233531091861
BaseRepresentation
bin11110110000100…
…10000111111000
3122222111222021210
433120102013320
51012023231203
641334203120
76252111231
oct1730220770
9588458253
10258023928
11122714218
12724b34a0
13415c19a6
14263a8088
15179bb803
hexf6121f8

258023928 has 64 divisors (see below), whose sum is σ = 663616800. Its totient is φ = 83566080.

The previous prime is 258023921. The next prime is 258023929. The reversal of 258023928 is 829320852.

258023928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258023921) 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, 137718 + ... + 139578.

Almost surely, 2258023928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258023928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331808400).

258023928 is an abundant number, since it is smaller than the sum of its proper divisors (405592872).

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

258023928 is a wasteful number, since it uses less digits than its factorization.

258023928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 258023928 is about 16063.1232330453. The cubic root of 258023928 is about 636.6293560487.

The spelling of 258023928 in words is "two hundred fifty-eight million, twenty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 109 159 212 218 318 327 424 436 636 654 872 1272 1308 1861 2616 3722 5583 5777 7444 11166 11554 14888 17331 22332 23108 34662 44664 46216 69324 98633 138648 197266 202849 295899 394532 405698 591798 608547 789064 811396 1183596 1217094 1622792 2367192 2434188 4868376 10750997 21501994 32252991 43003988 64505982 86007976 129011964 258023928