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258720471 = 32149192931
BaseRepresentation
bin11110110101111…
…00001011010111
3200000211100202200
433122330023113
51012213023341
641401135543
76261042042
oct1732741327
9600740680
10258720471
1112304a579
127278a5b3
13417a6a49
1426509c59
1517aa7db6
hexf6bc2d7

258720471 has 12 divisors (see below), whose sum is σ = 376217400. Its totient is φ = 171321840.

The previous prime is 258720461. The next prime is 258720529. The reversal of 258720471 is 174027852.

258720471 is a `hidden beast` number, since 2 + 587 + 2 + 0 + 4 + 71 = 666.

It is not a de Polignac number, because 258720471 - 25 = 258720439 is a prime.

It is a super-3 number, since 3×2587204713 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258720421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95125 + ... + 97806.

It is an arithmetic number, because the mean of its divisors is an integer number (31351450).

Almost surely, 2258720471 is an apocalyptic number.

258720471 is a deficient number, since it is larger than the sum of its proper divisors (117496929).

258720471 is a wasteful number, since it uses less digits than its factorization.

258720471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193086 (or 193083 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 258720471 is about 16084.7900514741. The cubic root of 258720471 is about 637.2017077375.

The spelling of 258720471 in words is "two hundred fifty-eight million, seven hundred twenty thousand, four hundred seventy-one".

Divisors: 1 3 9 149 447 1341 192931 578793 1736379 28746719 86240157 258720471