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258074145 = 325723179199
BaseRepresentation
bin11110110000111…
…10011000100001
3122222121112011200
433120132120201
51012031333040
641335231413
76252410520
oct1730363041
9588545150
10258074145
11122748a1a
1272518569
134160b7c4
14263bc4b7
15179cb630
hexf61e621

258074145 has 96 divisors (see below), whose sum is σ = 539136000. Its totient is φ = 111652992.

The previous prime is 258074143. The next prime is 258074153. The reversal of 258074145 is 541470852.

258074145 is a `hidden beast` number, since 2 + 580 + 74 + 1 + 4 + 5 = 666.

258074145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258074145 - 21 = 258074143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258074143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1296756 + ... + 1296954.

It is an arithmetic number, because the mean of its divisors is an integer number (5616000).

Almost surely, 2258074145 is an apocalyptic number.

It is an amenable number.

258074145 is an abundant number, since it is smaller than the sum of its proper divisors (281061855).

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

258074145 is a wasteful number, since it uses less digits than its factorization.

258074145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 258074145 is about 16064.6862714464. The cubic root of 258074145 is about 636.6706539532.

The spelling of 258074145 in words is "two hundred fifty-eight million, seventy-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 179 199 207 315 345 483 537 597 805 895 995 1035 1253 1393 1449 1611 1791 2415 2685 2985 3759 4117 4179 4577 6265 6965 7245 8055 8955 11277 12351 12537 13731 18795 20585 20895 22885 28819 32039 35621 37053 41193 56385 61755 62685 68655 86457 96117 106863 144095 160195 178105 185265 205965 249347 259371 288351 320589 432285 480585 534315 748041 819283 1246735 1296855 1441755 1602945 2244123 2457849 3740205 4096415 5734981 7373547 11220615 12289245 17204943 28674905 36867735 51614829 86024715 258074145