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258233997 = 37194991297
BaseRepresentation
bin11110110010001…
…01011010001101
3122222220122110010
433121011122031
51012101441442
641342503433
76253644540
oct1731053215
9588818403
10258233997
1112284802a
1272594b79
13416664a8
1426420857
1517a0db9c
hexf64568d

258233997 has 32 divisors (see below), whose sum is σ = 415360000. Its totient is φ = 139408128.

The previous prime is 258233981. The next prime is 258234007. The reversal of 258233997 is 799332852.

It is a happy number.

It is not a de Polignac number, because 258233997 - 24 = 258233981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258233597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198453 + ... + 199749.

It is an arithmetic number, because the mean of its divisors is an integer number (12980000).

Almost surely, 2258233997 is an apocalyptic number.

It is an amenable number.

258233997 is a deficient number, since it is larger than the sum of its proper divisors (157126003).

258233997 is a wasteful number, since it uses less digits than its factorization.

258233997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825.

The product of its digits is 816480, while the sum is 48.

The square root of 258233997 is about 16069.6607618207. The cubic root of 258233997 is about 636.8020788088.

The spelling of 258233997 in words is "two hundred fifty-eight million, two hundred thirty-three thousand, nine hundred ninety-seven".

Divisors: 1 3 7 19 21 57 133 399 499 1297 1497 3493 3891 9079 9481 10479 24643 27237 28443 66367 73929 172501 199101 517503 647203 1941609 4530421 12296857 13591263 36890571 86077999 258233997