Search a number
-
+
241119872 = 277439613
BaseRepresentation
bin11100101111100…
…11001010000000
3121210201011021122
432113303022000
5443211313442
635532011412
75655325250
oct1627631200
9553634248
10241119872
11114118a24
1268900b68
133ac537a6
1424047960
151627cdd2
hexe5f3280

241119872 has 64 divisors (see below), whose sum is σ = 551126400. Its totient is φ = 102933504.

The previous prime is 241119859. The next prime is 241119883. The reversal of 241119872 is 278911142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 393038 + ... + 393650.

It is an arithmetic number, because the mean of its divisors is an integer number (8611350).

Almost surely, 2241119872 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 241119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275563200).

241119872 is an abundant number, since it is smaller than the sum of its proper divisors (310006528).

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

241119872 is an equidigital number, since it uses as much as digits as its factorization.

241119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1061 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 241119872 is about 15528.0350334484. The cubic root of 241119872 is about 622.4115857506.

The spelling of 241119872 in words is "two hundred forty-one million, one hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 439 448 613 878 896 1226 1756 2452 3073 3512 4291 4904 6146 7024 8582 9808 12292 14048 17164 19616 24584 28096 34328 39232 49168 56192 68656 78464 98336 137312 196672 269107 274624 393344 538214 549248 1076428 1883749 2152856 3767498 4305712 7534996 8611424 15069992 17222848 30139984 34445696 60279968 120559936 241119872