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254115968 = 2714092
BaseRepresentation
bin11110010010110…
…00000010000000
3122201011102120112
433021120002000
51010023202333
641114330452
76203643611
oct1711300200
9581142515
10254115968
111204950a7
1271129a28
1340853ca2
1425a6bc08
1517498948
hexf258080

254115968 has 24 divisors (see below), whose sum is σ = 506606205. Its totient is φ = 126967808.

The previous prime is 254115947. The next prime is 254115989. The reversal of 254115968 is 869511452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (254115947) and next prime (254115989).

It can be written as a sum of positive squares in 2 ways, for example, as 155550784 + 98565184 = 12472^2 + 9928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11272.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 179648 + ... + 181056.

Almost surely, 2254115968 is an apocalyptic number.

It is an amenable number.

254115968 is a deficient number, since it is larger than the sum of its proper divisors (252490237).

254115968 is an frugal number, since it uses more digits than its factorization.

254115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 1411 counting only the distinct ones).

The product of its digits is 86400, while the sum is 41.

The square root of 254115968 is about 15941.0152750695. The cubic root of 254115968 is about 633.3989201391.

The spelling of 254115968 in words is "two hundred fifty-four million, one hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 1409 2818 5636 11272 22544 45088 90176 180352 1985281 3970562 7941124 15882248 31764496 63528992 127057984 254115968