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241242048 = 2632491853
BaseRepresentation
bin11100110000100…
…00111111000000
3121210221100212200
432120100333000
5443224221143
635534353200
75656344405
oct1630207700
9553840780
10241242048
111141a17a3
126895b800
133ac97298
142407a2ac
15162a41d3
hexe610fc0

241242048 has 84 divisors (see below), whose sum is σ = 693697368. Its totient is φ = 80156160.

The previous prime is 241242047. The next prime is 241242173. The reversal of 241242048 is 840242142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241242041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282390 + ... + 283242.

It is an arithmetic number, because the mean of its divisors is an integer number (8258302).

Almost surely, 2241242048 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 241242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346848684).

241242048 is an abundant number, since it is smaller than the sum of its proper divisors (452455320).

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

241242048 is a wasteful number, since it uses less digits than its factorization.

241242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 241242048 is about 15531.9685809623. The cubic root of 241242048 is about 622.5166937992.

The spelling of 241242048 in words is "two hundred forty-one million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 491 576 853 982 1473 1706 1964 2559 2946 3412 3928 4419 5118 5892 6824 7677 7856 8838 10236 11784 13648 15354 15712 17676 20472 23568 27296 30708 31424 35352 40944 47136 54592 61416 70704 81888 94272 122832 141408 163776 245664 282816 418823 491328 837646 1256469 1675292 2512938 3350584 3769407 5025876 6701168 7538814 10051752 13402336 15077628 20103504 26804672 30155256 40207008 60310512 80414016 120621024 241242048