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258294272 = 291313851
BaseRepresentation
bin11110110010101…
…00001000000000
3200000000201010112
433121110020000
51012110404042
641344050452
76254315345
oct1731241000
9600021115
10258294272
11122889345
1272603a28
1341687a62
14264387cc
1517a21982
hexf654200

258294272 has 40 divisors (see below), whose sum is σ = 520158672. Its totient is φ = 128128000.

The previous prime is 258294241. The next prime is 258294307. The reversal of 258294272 is 272492852.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65147 + ... + 68997.

Almost surely, 2258294272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260079336).

258294272 is an abundant number, since it is smaller than the sum of its proper divisors (261864400).

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

258294272 is an equidigital number, since it uses as much as digits as its factorization.

258294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3984 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 258294272 is about 16071.5360809103. The cubic root of 258294272 is about 636.8516207743.

The spelling of 258294272 in words is "two hundred fifty-eight million, two hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 1048 2096 3851 4192 7702 8384 15404 16768 30808 33536 61616 67072 123232 246464 492928 504481 985856 1008962 1971712 2017924 4035848 8071696 16143392 32286784 64573568 129147136 258294272