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241472288 = 25412672
BaseRepresentation
bin11100110010010…
…01001100100000
3121211101001201002
432121021030200
5443304103123
635543331132
75661323561
oct1631111440
9554331632
10241472288
11114339782
1268a50aa8
133b048015
14240da168
15162ec528
hexe649320

241472288 has 54 divisors (see below), whose sum is σ = 494657793. Its totient is φ = 116033280.

The previous prime is 241472263. The next prime is 241472333. The reversal of 241472288 is 882274142.

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 can be written as a sum of positive squares in 2 ways, for example, as 172449424 + 69022864 = 13132^2 + 8308^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10988.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3604031 + ... + 3604097.

Almost surely, 2241472288 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 241472288

241472288 is an abundant number, since it is smaller than the sum of its proper divisors (253185505).

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

241472288 is an frugal number, since it uses more digits than its factorization.

241472288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 110 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 241472288 is about 15539.3786233556. The cubic root of 241472288 is about 622.7146729267.

The spelling of 241472288 in words is "two hundred forty-one million, four hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 67 82 134 164 268 328 536 656 1072 1312 1681 2144 2747 3362 4489 5494 6724 8978 10988 13448 17956 21976 26896 35912 43952 53792 71824 87904 112627 143648 184049 225254 368098 450508 736196 901016 1472392 1802032 2944784 3604064 5889568 7546009 15092018 30184036 60368072 120736144 241472288