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241243808 = 25132919997
BaseRepresentation
bin11100110000100…
…01011010100000
3121210221110021212
432120101122200
5443224300213
635534405252
75656352501
oct1630213240
9553843255
10241243808
111141a3053
1268960828
133ac98020
142407aba8
15162a49a8
hexe6116a0

241243808 has 48 divisors (see below), whose sum is σ = 529147080. Its totient is φ = 107498496.

The previous prime is 241243789. The next prime is 241243831. The reversal of 241243808 is 808342142.

It can be written as a sum of positive squares in 4 ways, for example, as 210018064 + 31225744 = 14492^2 + 5588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 2066 + ... + 22062.

Almost surely, 2241243808 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 241243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264573540).

241243808 is an abundant number, since it is smaller than the sum of its proper divisors (287903272).

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

241243808 is a wasteful number, since it uses less digits than its factorization.

241243808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20049 (or 20041 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 241243808 is about 15532.0252381974. The cubic root of 241243808 is about 622.5182076684.

The spelling of 241243808 in words is "two hundred forty-one million, two hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 12064 19997 39994 79988 159976 259961 319952 519922 579913 639904 1039844 1159826 2079688 2319652 4159376 4639304 7538869 8318752 9278608 15077738 18557216 30155476 60310952 120621904 241243808