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258519872 = 2613310721
BaseRepresentation
bin11110110100010…
…11001101000000
3200000110011121002
433122023031000
51012140113442
641352551132
76256245152
oct1732131500
9600404532
10258519872
11122a22896
12726b24a8
1341736650
1426496ad2
1517a68732
hexf68b340

258519872 has 28 divisors (see below), whose sum is σ = 552463716. Its totient is φ = 119316480.

The previous prime is 258519869. The next prime is 258519889. The reversal of 258519872 is 278915852.

It can be written as a sum of positive squares in 2 ways, for example, as 69622336 + 188897536 = 8344^2 + 13744^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154529 + ... + 156192.

It is an arithmetic number, because the mean of its divisors is an integer number (19730847).

Almost surely, 2258519872 is an apocalyptic number.

It is an amenable number.

258519872 is an abundant number, since it is smaller than the sum of its proper divisors (293943844).

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

258519872 is a wasteful number, since it uses less digits than its factorization.

258519872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310746 (or 310736 counting only the distinct ones).

The product of its digits is 403200, while the sum is 47.

The square root of 258519872 is about 16078.5531687400. The cubic root of 258519872 is about 637.0369803070.

The spelling of 258519872 in words is "two hundred fifty-eight million, five hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 310721 621442 1242884 2485768 4039373 4971536 8078746 9943072 16157492 19886144 32314984 64629968 129259936 258519872