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241411808 = 2511838263
BaseRepresentation
bin11100110001110…
…10011011100000
3121211020222202002
432120322123200
5443300134213
635542143132
75660652341
oct1630723340
9554228662
10241411808
111142a82a0
1268a21aa8
133b026631
14240c20c8
15162d9658
hexe63a6e0

241411808 has 48 divisors (see below), whose sum is σ = 524797056. Its totient is φ = 108397440.

The previous prime is 241411801. The next prime is 241411811. The reversal of 241411808 is 808114142.

It is a happy number.

241411808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2414118082 = 116559322083657728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241411801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25085 + ... + 33347.

It is an arithmetic number, because the mean of its divisors is an integer number (10933272).

Almost surely, 2241411808 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 241411808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262398528).

241411808 is an abundant number, since it is smaller than the sum of its proper divisors (283385248).

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

241411808 is a wasteful number, since it uses less digits than its factorization.

241411808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 241411808 is about 15537.4324777294. The cubic root of 241411808 is about 622.6626794820.

The spelling of 241411808 in words is "two hundred forty-one million, four hundred eleven thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 913 1328 1826 2656 3652 7304 8263 14608 16526 29216 33052 66104 90893 132208 181786 264416 363572 685829 727144 1371658 1454288 2743316 2908576 5486632 7544119 10973264 15088238 21946528 30176476 60352952 120705904 241411808