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258153252 = 22374371471
BaseRepresentation
bin11110110001100…
…01101100100100
3122222202112200120
433120301230210
51012041401002
641341041540
76253160250
oct1730615444
9588675616
10258153252
111227a23a5
12725562b0
1341638806
14263dd260
15179e4cbc
hexf631b24

258153252 has 48 divisors (see below), whose sum is σ = 704428032. Its totient is φ = 72041760.

The previous prime is 258153227. The next prime is 258153257. The reversal of 258153252 is 252351852.

258153252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258153257) 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, 32124 + ... + 39347.

It is an arithmetic number, because the mean of its divisors is an integer number (14675584).

Almost surely, 2258153252 is an apocalyptic number.

It is an amenable number.

258153252 is an abundant number, since it is smaller than the sum of its proper divisors (446274780).

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

258153252 is a wasteful number, since it uses less digits than its factorization.

258153252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71528 (or 71526 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 258153252 is about 16067.1482223822. The cubic root of 258153252 is about 636.7356998081.

The spelling of 258153252 in words is "two hundred fifty-eight million, one hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 71471 142942 214413 285884 428826 500297 857652 1000594 1500891 2001188 3001782 3073253 6003564 6146506 9219759 12293012 18439518 21512771 36879036 43025542 64538313 86051084 129076626 258153252