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258296144 = 2494717047
BaseRepresentation
bin11110110010101…
…00100101010000
3200000000210200212
433121110211100
51012110434034
641344103252
76254323661
oct1731244520
9600023625
10258296144
1112288a797
1272604b28
1341688872
1426439368
1517a222ce
hexf654950

258296144 has 20 divisors (see below), whose sum is σ = 501006624. Its totient is φ = 129004128.

The previous prime is 258296131. The next prime is 258296167. The reversal of 258296144 is 441692852.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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, 6629 + ... + 23675.

Almost surely, 2258296144 is an apocalyptic number.

It is an amenable number.

258296144 is a deficient number, since it is larger than the sum of its proper divisors (242710480).

258296144 is a wasteful number, since it uses less digits than its factorization.

258296144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002 (or 17996 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 258296144 is about 16071.5943204151. The cubic root of 258296144 is about 636.8531593081.

The spelling of 258296144 in words is "two hundred fifty-eight million, two hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 947 1894 3788 7576 15152 17047 34094 68188 136376 272752 16143509 32287018 64574036 129148072 258296144